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Finding the Fourth Proportional to 231,486.12, 319,463.24 and 129,505.48

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Solution

The fourth proportional to 231,486.12, 319,463.24 and 129,505.48 is: 178,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,486.12 : 319,463.24 = 129,505.48 : x
  2. Step 2: Convert to fraction form
    231,486.12/319,463.24 = 129,505.48/x
  3. Step 3: Cross multiply
    231,486.12x = 319,463.24 × 129,505.48
  4. Step 4: Simplify right side
    231,486.12x = 41,372,240,238.56
  5. Step 5: Solve for x
    x = 41,372,240,238.56/231,486.12
  6. Step 6: Final answer
    x = 178,724.50

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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.