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Finding the Fourth Proportional to 437,692.64, 656,292.70 and 138,117.38

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Solution

The fourth proportional to 437,692.64, 656,292.70 and 138,117.38 is: 207,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,692.64 : 656,292.70 = 138,117.38 : x
  2. Step 2: Convert to fraction form
    437,692.64/656,292.70 = 138,117.38/x
  3. Step 3: Cross multiply
    437,692.64x = 656,292.70 × 138,117.38
  4. Step 4: Simplify right side
    437,692.64x = 90,645,428,237.13
  5. Step 5: Solve for x
    x = 90,645,428,237.13/437,692.64
  6. Step 6: Final answer
    x = 207,098.36

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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.