Finding the Fourth Proportional to 470,338,161.05, 705,461,653.71 and 142,816,553.11
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Solution
The fourth proportional to 470,338,161.05, 705,461,653.71 and 142,816,553.11 is: 214,210,987.07
Step by Step Solution
- Step 1: Write the proportion equation
470,338,161.05 : 705,461,653.71 = 142,816,553.11 : x - Step 2: Convert to fraction form
470,338,161.05/705,461,653.71 = 142,816,553.11/x - Step 3: Cross multiply
470,338,161.05x = 705,461,653.71 × 142,816,553.11 - Step 4: Simplify right side
470,338,161.05x = 100,751,601,734,142,656 - Step 5: Solve for x
x = 100,751,601,734,142,656/470,338,161.05 - Step 6: Final answer
x = 214,210,987.07
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.