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Finding the Fourth Proportional to 498,765.86, 748,253.91 and 161,780.28

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Solution

The fourth proportional to 498,765.86, 748,253.91 and 161,780.28 is: 242,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,765.86 : 748,253.91 = 161,780.28 : x
  2. Step 2: Convert to fraction form
    498,765.86/748,253.91 = 161,780.28/x
  3. Step 3: Cross multiply
    498,765.86x = 748,253.91 × 161,780.28
  4. Step 4: Simplify right side
    498,765.86x = 121,052,727,070.90
  5. Step 5: Solve for x
    x = 121,052,727,070.90/498,765.86
  6. Step 6: Final answer
    x = 242,704.52

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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.