Finding the Fourth Proportional to 406,016,163.84, 560,302,872.96 and 220,377,217.92
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Solution
The fourth proportional to 406,016,163.84, 560,302,872.96 and 220,377,217.92 is: 304,120,868.41
Step by Step Solution
- Step 1: Write the proportion equation
406,016,163.84 : 560,302,872.96 = 220,377,217.92 : x - Step 2: Convert to fraction form
406,016,163.84/560,302,872.96 = 220,377,217.92/x - Step 3: Cross multiply
406,016,163.84x = 560,302,872.96 × 220,377,217.92 - Step 4: Simplify right side
406,016,163.84x = 123,477,988,335,508,000 - Step 5: Solve for x
x = 123,477,988,335,508,000/406,016,163.84 - Step 6: Final answer
x = 304,120,868.41
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.