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Finding the Fourth Proportional to 498,469.64, 747,822.32 and 161,509.73

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Solution

The fourth proportional to 498,469.64, 747,822.32 and 161,509.73 is: 242,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,469.64 : 747,822.32 = 161,509.73 : x
  2. Step 2: Convert to fraction form
    498,469.64/747,822.32 = 161,509.73/x
  3. Step 3: Cross multiply
    498,469.64x = 747,822.32 × 161,509.73
  4. Step 4: Simplify right side
    498,469.64x = 120,780,580,991.17
  5. Step 5: Solve for x
    x = 120,780,580,991.17/498,469.64
  6. Step 6: Final answer
    x = 242,302.78

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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.