Is this part of a multiwire branch circuit? The reason I ask is because if you have some other circuit "sharing" that neutral to the ballast, and you connect your meter from the ballast black wire to ground, you have completed a circuit. Comes "in" the ballast neutral from other circuit sharing that neutral, through ballast, though the meter, and to ground. A parallel neutral path. Just a guess.
When I get these wacky readings, I generally switch to volts to figure out if I'm really trying to ohm out in the presence of voltage. I should add that a couple of the meggers that I use for this purpose will automatically display the measured voltage on the screen if I'm accidentally trying to megger an energized circuit.