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Finding the Fourth Proportional to 288,580.97, 398,234.09 and 161,257.61

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Solution

The fourth proportional to 288,580.97, 398,234.09 and 161,257.61 is: 222,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,580.97 : 398,234.09 = 161,257.61 : x
  2. Step 2: Convert to fraction form
    288,580.97/398,234.09 = 161,257.61/x
  3. Step 3: Cross multiply
    288,580.97x = 398,234.09 × 161,257.61
  4. Step 4: Simplify right side
    288,580.97x = 64,218,277,573.92
  5. Step 5: Solve for x
    x = 64,218,277,573.92/288,580.97
  6. Step 6: Final answer
    x = 222,531.23

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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.