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Finding the Fourth Proportional to 478,082.20, 717,155.70 and 162,562.90

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Solution

The fourth proportional to 478,082.20, 717,155.70 and 162,562.90 is: 243,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,082.20 : 717,155.70 = 162,562.90 : x
  2. Step 2: Convert to fraction form
    478,082.20/717,155.70 = 162,562.90/x
  3. Step 3: Cross multiply
    478,082.20x = 717,155.70 × 162,562.90
  4. Step 4: Simplify right side
    478,082.20x = 116,582,910,343.53
  5. Step 5: Solve for x
    x = 116,582,910,343.53/478,082.20
  6. Step 6: Final answer
    x = 243,855.37

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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.