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Finding the Fourth Proportional to 457,480.84, 686,337.42 and 137,630.92

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Solution

The fourth proportional to 457,480.84, 686,337.42 and 137,630.92 is: 206,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,480.84 : 686,337.42 = 137,630.92 : x
  2. Step 2: Convert to fraction form
    457,480.84/686,337.42 = 137,630.92/x
  3. Step 3: Cross multiply
    457,480.84x = 686,337.42 × 137,630.92
  4. Step 4: Simplify right side
    457,480.84x = 94,461,250,545.03
  5. Step 5: Solve for x
    x = 94,461,250,545.03/457,480.84
  6. Step 6: Final answer
    x = 206,481.33

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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.