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Finding the Fourth Proportional to 312,469.56, 431,207.87 and 169,229.61

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Solution

The fourth proportional to 312,469.56, 431,207.87 and 169,229.61 is: 233,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,469.56 : 431,207.87 = 169,229.61 : x
  2. Step 2: Convert to fraction form
    312,469.56/431,207.87 = 169,229.61/x
  3. Step 3: Cross multiply
    312,469.56x = 431,207.87 × 169,229.61
  4. Step 4: Simplify right side
    312,469.56x = 72,973,138,822.88
  5. Step 5: Solve for x
    x = 72,973,138,822.88/312,469.56
  6. Step 6: Final answer
    x = 233,536.79

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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.