"Make China the fifth country."这个句子是正确的。
句子中的make为使役动词，意思是：使，让。后面接了复合宾语（宾语+宾语补足语），宾语是China，宾补是the fifth country。
make后接复合宾语时，常见的宾语补足语可以是：
1、动词不定式。如：
He made me stay with him。他让我和他在一起。
How did Ling Feng make the baby stop crying?凌风是怎样使婴儿停止啼哭的？
2、形容词（词组）。如：
This made all the street as light as day. 这使整条街道亮如白昼。
He tried to make them happy. 他设法使他们高兴。
It'll made me so happy. 这件事可使我如此高兴。
3、名词（词组）。如：
I would make you king over the earth.我会让你做国王统治世界。
He made her his wife.他娶她为妻。
All work and no play makes Jack a dull boy.只有工作没有娱乐使杰克脑子极为迟纯。（只工作不学习，聪明的孩子也变傻）。
4、有时可用介词短语。如：
He asked us to make ourselves at home. 他要我们不要拘束。
5、过去分词。如：
What makes him so frightened?什么令他如此害怕？
