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Finding the Fourth Proportional to 457,704.60, 686,546.10 and 125,280.60

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Solution

The fourth proportional to 457,704.60, 686,546.10 and 125,280.60 is: 187,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,704.60 : 686,546.10 = 125,280.60 : x
  2. Step 2: Convert to fraction form
    457,704.60/686,546.10 = 125,280.60/x
  3. Step 3: Cross multiply
    457,704.60x = 686,546.10 × 125,280.60
  4. Step 4: Simplify right side
    457,704.60x = 86,010,907,335.66
  5. Step 5: Solve for x
    x = 86,010,907,335.66/457,704.60
  6. Step 6: Final answer
    x = 187,917.94

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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.