Chrome: Prefer new tabs to open at the far right rather than next to your current tab? We've shown you how to fix that in Firefox with an about:config tweak. To solve the same problem in Chrome, you need the Tabby extension.
Making new tabs open on the far right is literally all Tabby does. If (like this editor) you like your tabs to stay in order so you can quickly access them using the Ctrl-Number shortcut, it's pretty much essential.