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Finding the Fourth Proportional to 457,877.16, 686,932.56 and 142,336.80

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Solution

The fourth proportional to 457,877.16, 686,932.56 and 142,336.80 is: 213,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,877.16 : 686,932.56 = 142,336.80 : x
  2. Step 2: Convert to fraction form
    457,877.16/686,932.56 = 142,336.80/x
  3. Step 3: Cross multiply
    457,877.16x = 686,932.56 × 142,336.80
  4. Step 4: Simplify right side
    457,877.16x = 97,775,782,406.21
  5. Step 5: Solve for x
    x = 97,775,782,406.21/457,877.16
  6. Step 6: Final answer
    x = 213,541.51

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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.