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Finding the Fourth Proportional to 498,311.60, 747,540.30 and 161,294.90

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Solution

The fourth proportional to 498,311.60, 747,540.30 and 161,294.90 is: 241,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,311.60 : 747,540.30 = 161,294.90 : x
  2. Step 2: Convert to fraction form
    498,311.60/747,540.30 = 161,294.90/x
  3. Step 3: Cross multiply
    498,311.60x = 747,540.30 × 161,294.90
  4. Step 4: Simplify right side
    498,311.60x = 120,574,437,934.47
  5. Step 5: Solve for x
    x = 120,574,437,934.47/498,311.60
  6. Step 6: Final answer
    x = 241,965.95

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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.