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Finding the Fourth Proportional to 424,144.72, 636,217.20 and 199,340.08

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Solution

The fourth proportional to 424,144.72, 636,217.20 and 199,340.08 is: 299,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,144.72 : 636,217.20 = 199,340.08 : x
  2. Step 2: Convert to fraction form
    424,144.72/636,217.20 = 199,340.08/x
  3. Step 3: Cross multiply
    424,144.72x = 636,217.20 × 199,340.08
  4. Step 4: Simplify right side
    424,144.72x = 126,823,587,545.38
  5. Step 5: Solve for x
    x = 126,823,587,545.38/424,144.72
  6. Step 6: Final answer
    x = 299,010.18

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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.