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Finding the Fourth Proportional to 381,428.40, 572,146.92 and 115,191.12

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Solution

The fourth proportional to 381,428.40, 572,146.92 and 115,191.12 is: 172,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,428.40 : 572,146.92 = 115,191.12 : x
  2. Step 2: Convert to fraction form
    381,428.40/572,146.92 = 115,191.12/x
  3. Step 3: Cross multiply
    381,428.40x = 572,146.92 × 115,191.12
  4. Step 4: Simplify right side
    381,428.40x = 65,906,244,519.35
  5. Step 5: Solve for x
    x = 65,906,244,519.35/381,428.40
  6. Step 6: Final answer
    x = 172,787.98

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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.