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Finding the Fourth Proportional to 261,951.43, 392,929.89 and 209,693.11

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Solution

The fourth proportional to 261,951.43, 392,929.89 and 209,693.11 is: 314,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,951.43 : 392,929.89 = 209,693.11 : x
  2. Step 2: Convert to fraction form
    261,951.43/392,929.89 = 209,693.11/x
  3. Step 3: Cross multiply
    261,951.43x = 392,929.89 × 209,693.11
  4. Step 4: Simplify right side
    261,951.43x = 82,394,690,646.06
  5. Step 5: Solve for x
    x = 82,394,690,646.06/261,951.43
  6. Step 6: Final answer
    x = 314,541.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.