Is there a database program similar to Microsoft Access for Linux?

Yes, FIleMaker ProYes, give FileMaker Pro a try.It beats the pants off of access and is much easier to use.Also it is cross platform compatible so the database files can be used on Mac or PC.you do have to have a separate copy for each machine though.

They also have a developer version that you can create databases to give to anyone that will work without them having to purchase the full version. The version it creates to give away has some limitations, but it works great.

I use it for some pretty sophisticated stuff.