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Finding the Fourth Proportional to 564,778.20, 847,161.90 and 138,315.90

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Solution

The fourth proportional to 564,778.20, 847,161.90 and 138,315.90 is: 207,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,778.20 : 847,161.90 = 138,315.90 : x
  2. Step 2: Convert to fraction form
    564,778.20/847,161.90 = 138,315.90/x
  3. Step 3: Cross multiply
    564,778.20x = 847,161.90 × 138,315.90
  4. Step 4: Simplify right side
    564,778.20x = 117,175,960,644.21
  5. Step 5: Solve for x
    x = 117,175,960,644.21/564,778.20
  6. Step 6: Final answer
    x = 207,472.53

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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.