Had a look at Console (dbl click console in Applications\Utilities) and found the following entries whenever I double clicked the iTunes4.mpkg:
In my console.log:
dyld: /Users/adrian/Documents/Mac OS X Install DVD/Applications/Utilities/Installer.app/Contents/MacOS/Installer can't open library: /System/Library/Frameworks/InstallerPlugins.framework/Versions/A/InstallerPlugins (No such file or directory, errno = 2)
In my system.log:
May 13 17:51:51 localhost crashdump: Unable to determine CPSProcessSerNum pid: 398 name: Installer
May 13 17:51:51 localhost crashdump: Started writing crash report to: /Users/adrian/Library/Logs/CrashReporter/Installer.crash.log
May 13 17:51:51 localhost crashdump: Finished writing crash report to: /Users/adrian/Library/Logs/CrashReporter/Installer.crash.log
From my console.log it appears that double clicking the package was starting the wrong installer! Therefore, what I did was go to Applications\Utilties and run the correct Installer explicitly. Then it was a matter of opening the iTunes4.mpkg file, and everything ran fine.
I think the problem is that I have copied the new Tiger install DVD into my Documents directory and it has now registered the installer from that DVD image as the installer. Why do I have that image? It was a lame attempt at copying the DVD image from a PC (using some Mac reading software), to the Mac so that I could install Tiger on my non-DVD G4. Alas, I just have to wait for the CD version to arrive via the Media Exchange Program....