Super King Air 200
Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument
Flight Crew Last 90 Days 60; Flight Crew Total 23450; Flight Crew Type 2450
Situational Awareness; Human-Machine Interface
Aircraft Equipment Problem Less Severe; Deviation / Discrepancy - Procedural FAR; Deviation / Discrepancy - Procedural Published Material / Policy; Ground Event / Encounter Fuel Issue; Inflight Event / Encounter Fuel Issue
Air Traffic Control Provided Assistance; Flight Crew Landed As Precaution; Flight Crew Requested ATC Assistance / Clarification; Flight Crew Inflight Shutdown; General Flight Cancelled / Delayed
Aircraft; Human Factors; Procedure; Software and Automation
While on ILS final to Runway XL under visual conditions; the right engine failed. Landing with the left engine only was accomplished after advising ZZZ tower. Aircraft was returning from ZZZ1 with X passengers aboard. It was thought that a fuel pump had failed; but further investigation revealed that I as the PIC had misread my fuel gauge. I had thought that the right fuel quantity was off by 300 pounds because I had flown this aircraft several times before and was going to report the discrepancy to maintenance.On the previous flights; I would refuel the amount of fuel plus reserve I needed for the next flight evenly distributing the fuel load. However; I did not take into account that I would start the right engine first to get air condition operating for the passengers onboard then program the Garmin 1000 for the flight.  I forgot to take into account the extra fuel burned during this procedure; thus producing a cumulative effect of showing a fuel imbalance of close to 300 pounds which I would report to maintenance after this flight. I thought the engine stoppage was the result of a fuel pump failure; instead was probably due to fuel starvation due to the cumulative effect of my failure to account for the additional fuel used during start up and a misguided conclusion that the right fuel gauge was inaccurate.
BE-200 Captain reported miscalculating fuel used causing fuel starvation and engine failure on final.