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Finding the Fourth Proportional to 514,149.78, 709,517.98 and 284,702.14

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Solution

The fourth proportional to 514,149.78, 709,517.98 and 284,702.14 is: 392,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,149.78 : 709,517.98 = 284,702.14 : x
  2. Step 2: Convert to fraction form
    514,149.78/709,517.98 = 284,702.14/x
  3. Step 3: Cross multiply
    514,149.78x = 709,517.98 × 284,702.14
  4. Step 4: Simplify right side
    514,149.78x = 202,001,288,517.25
  5. Step 5: Solve for x
    x = 202,001,288,517.25/514,149.78
  6. Step 6: Final answer
    x = 392,884.13

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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.