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Finding the Fourth Proportional to 647,431.80, 894,020.02 and 406,129.16

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Solution

The fourth proportional to 647,431.80, 894,020.02 and 406,129.16 is: 560,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,431.80 : 894,020.02 = 406,129.16 : x
  2. Step 2: Convert to fraction form
    647,431.80/894,020.02 = 406,129.16/x
  3. Step 3: Cross multiply
    647,431.80x = 894,020.02 × 406,129.16
  4. Step 4: Simplify right side
    647,431.80x = 363,087,599,745.78
  5. Step 5: Solve for x
    x = 363,087,599,745.78/647,431.80
  6. Step 6: Final answer
    x = 560,812.12

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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.