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Finding the Fourth Proportional to 424,138.40, 636,013.20 and 187,359.20

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Solution

The fourth proportional to 424,138.40, 636,013.20 and 187,359.20 is: 280,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,138.40 : 636,013.20 = 187,359.20 : x
  2. Step 2: Convert to fraction form
    424,138.40/636,013.20 = 187,359.20/x
  3. Step 3: Cross multiply
    424,138.40x = 636,013.20 × 187,359.20
  4. Step 4: Simplify right side
    424,138.40x = 119,162,924,341.44
  5. Step 5: Solve for x
    x = 119,162,924,341.44/424,138.40
  6. Step 6: Final answer
    x = 280,952.93

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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.