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Finding the Fourth Proportional to 231,474.92, 319,444.49 and 135,980.78

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Solution

The fourth proportional to 231,474.92, 319,444.49 and 135,980.78 is: 187,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,474.92 : 319,444.49 = 135,980.78 : x
  2. Step 2: Convert to fraction form
    231,474.92/319,444.49 = 135,980.78/x
  3. Step 3: Cross multiply
    231,474.92x = 319,444.49 × 135,980.78
  4. Step 4: Simplify right side
    231,474.92x = 43,438,311,035.61
  5. Step 5: Solve for x
    x = 43,438,311,035.61/231,474.92
  6. Step 6: Final answer
    x = 187,658.82

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1.5x scale

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.