Falcon 2000
Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP); Flight Crew Flight Instructor
Flight Crew Last 90 Days 50; Flight Crew Total 14450; Flight Crew Type 7000
Situational Awareness
Deviation - Altitude Overshoot; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Returned To Clearance; Flight Crew Became Reoriented
Human Factors; Weather
I was the Pilot in Command (PIC) non flying pilot.  We were on the descent into Midway airport.  We were cleared from the FL's to 4;00 MSL with an altimeter setting of 30.36.  Reaching 4;000 we were questioned about our altitude; something about check your Mode C and altitude.  I stated we were level at 4;000 MSL; ATC stated they showed us at 3;000. I asked her to confirm the altimeter setting and was given a new setting of 29.44. At this point I'd guess we were 40 miles from the airport.Obviously we flew through a weather front and I should have picked up on the setting that we were given was significantly different from the destination.
[Report narrative contained no additional information.]
A DA2000 flight crew reported descending to 3;000 feet AGL 40 miles from the airport when they were over one inch off in their altimeter setting.