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Finding the Fourth Proportional to 498,316.71, 747,584.10 and 161,391.42

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Solution

The fourth proportional to 498,316.71, 747,584.10 and 161,391.42 is: 242,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,316.71 : 747,584.10 = 161,391.42 : x
  2. Step 2: Convert to fraction form
    498,316.71/747,584.10 = 161,391.42/x
  3. Step 3: Cross multiply
    498,316.71x = 747,584.10 × 161,391.42
  4. Step 4: Simplify right side
    498,316.71x = 120,653,659,468.42
  5. Step 5: Solve for x
    x = 120,653,659,468.42/498,316.71
  6. Step 6: Final answer
    x = 242,122.44

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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.