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Finding the Fourth Proportional to 457,729.56, 686,425.80 and 158,133.24

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Solution

The fourth proportional to 457,729.56, 686,425.80 and 158,133.24 is: 237,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,729.56 : 686,425.80 = 158,133.24 : x
  2. Step 2: Convert to fraction form
    457,729.56/686,425.80 = 158,133.24/x
  3. Step 3: Cross multiply
    457,729.56x = 686,425.80 × 158,133.24
  4. Step 4: Simplify right side
    457,729.56x = 108,546,735,773.59
  5. Step 5: Solve for x
    x = 108,546,735,773.59/457,729.56
  6. Step 6: Final answer
    x = 237,141.63

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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.