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Finding the Fourth Proportional to 498,454.64, 747,799.82 and 161,494.75

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Solution

The fourth proportional to 498,454.64, 747,799.82 and 161,494.75 is: 242,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,454.64 : 747,799.82 = 161,494.75 : x
  2. Step 2: Convert to fraction form
    498,454.64/747,799.82 = 161,494.75/x
  3. Step 3: Cross multiply
    498,454.64x = 747,799.82 × 161,494.75
  4. Step 4: Simplify right side
    498,454.64x = 120,765,740,434.47
  5. Step 5: Solve for x
    x = 120,765,740,434.47/498,454.64
  6. Step 6: Final answer
    x = 242,280.30

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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.