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Finding the Fourth Proportional to 457,737.28, 686,605.98 and 142,194.16

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Solution

The fourth proportional to 457,737.28, 686,605.98 and 142,194.16 is: 213,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,737.28 : 686,605.98 = 142,194.16 : x
  2. Step 2: Convert to fraction form
    457,737.28/686,605.98 = 142,194.16/x
  3. Step 3: Cross multiply
    457,737.28x = 686,605.98 × 142,194.16
  4. Step 4: Simplify right side
    457,737.28x = 97,631,360,577.08
  5. Step 5: Solve for x
    x = 97,631,360,577.08/457,737.28
  6. Step 6: Final answer
    x = 213,291.26

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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.