Chrome uses the root-certificates provided by Windows. If you are using an outdated Windows (e.g. XP) or do not install all the Windows-Updates you don't get the new certificates installed.
The certificate used by the gateway depends on the Comodo UserTrust CA certificate which is not installed in Android 4.4 or any older Android system. You could manually install the CA certificate but that has some major draw-backs: 1. You have to set a device pin or password (lock pattern is not enough) 2. Android is…