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Finding the Fourth Proportional to 457,229.76, 685,839.52 and 161,672.64

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Solution

The fourth proportional to 457,229.76, 685,839.52 and 161,672.64 is: 242,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,229.76 : 685,839.52 = 161,672.64 : x
  2. Step 2: Convert to fraction form
    457,229.76/685,839.52 = 161,672.64/x
  3. Step 3: Cross multiply
    457,229.76x = 685,839.52 × 161,672.64
  4. Step 4: Simplify right side
    457,229.76x = 110,881,485,814.73
  5. Step 5: Solve for x
    x = 110,881,485,814.73/457,229.76
  6. Step 6: Final answer
    x = 242,507.15

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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.