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Finding the Fourth Proportional to 261,951.44, 392,929.90 and 209,693.12

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Solution

The fourth proportional to 261,951.44, 392,929.90 and 209,693.12 is: 314,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,951.44 : 392,929.90 = 209,693.12 : x
  2. Step 2: Convert to fraction form
    261,951.44/392,929.90 = 209,693.12/x
  3. Step 3: Cross multiply
    261,951.44x = 392,929.90 × 209,693.12
  4. Step 4: Simplify right side
    261,951.44x = 82,394,696,672.29
  5. Step 5: Solve for x
    x = 82,394,696,672.29/261,951.44
  6. Step 6: Final answer
    x = 314,541.87

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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.