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Finding the Fourth Proportional to 457,737.13, 686,649.84 and 142,109.29

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Solution

The fourth proportional to 457,737.13, 686,649.84 and 142,109.29 is: 213,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,737.13 : 686,649.84 = 142,109.29 : x
  2. Step 2: Convert to fraction form
    457,737.13/686,649.84 = 142,109.29/x
  3. Step 3: Cross multiply
    457,737.13x = 686,649.84 × 142,109.29
  4. Step 4: Simplify right side
    457,737.13x = 97,579,321,241.01
  5. Step 5: Solve for x
    x = 97,579,321,241.01/457,737.13
  6. Step 6: Final answer
    x = 213,177.64

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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.