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Finding the Fourth Proportional to 564,788.20, 847,176.90 and 138,325.90

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Solution

The fourth proportional to 564,788.20, 847,176.90 and 138,325.90 is: 207,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,788.20 : 847,176.90 = 138,325.90 : x
  2. Step 2: Convert to fraction form
    564,788.20/847,176.90 = 138,325.90/x
  3. Step 3: Cross multiply
    564,788.20x = 847,176.90 × 138,325.90
  4. Step 4: Simplify right side
    564,788.20x = 117,186,507,151.71
  5. Step 5: Solve for x
    x = 117,186,507,151.71/564,788.20
  6. Step 6: Final answer
    x = 207,487.53

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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.