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Finding the Fourth Proportional to 253,414.90, 349,713.21 and 140,241.70

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Solution

The fourth proportional to 253,414.90, 349,713.21 and 140,241.70 is: 193,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,414.90 : 349,713.21 = 140,241.70 : x
  2. Step 2: Convert to fraction form
    253,414.90/349,713.21 = 140,241.70/x
  3. Step 3: Cross multiply
    253,414.90x = 349,713.21 × 140,241.70
  4. Step 4: Simplify right side
    253,414.90x = 49,044,375,082.86
  5. Step 5: Solve for x
    x = 49,044,375,082.86/253,414.90
  6. Step 6: Final answer
    x = 193,533.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.