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Finding the Fourth Proportional to 253,404.36, 349,679.70 and 140,229

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Solution

The fourth proportional to 253,404.36, 349,679.70 and 140,229 is: 193,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,404.36 : 349,679.70 = 140,229 : x
  2. Step 2: Convert to fraction form
    253,404.36/349,679.70 = 140,229/x
  3. Step 3: Cross multiply
    253,404.36x = 349,679.70 × 140,229
  4. Step 4: Simplify right side
    253,404.36x = 49,035,234,651.30
  5. Step 5: Solve for x
    x = 49,035,234,651.30/253,404.36
  6. Step 6: Final answer
    x = 193,505.88

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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.