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Finding the Fourth Proportional to 312,729.28, 431,564.70 and 169,487.80

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Solution

The fourth proportional to 312,729.28, 431,564.70 and 169,487.80 is: 233,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,729.28 : 431,564.70 = 169,487.80 : x
  2. Step 2: Convert to fraction form
    312,729.28/431,564.70 = 169,487.80/x
  3. Step 3: Cross multiply
    312,729.28x = 431,564.70 × 169,487.80
  4. Step 4: Simplify right side
    312,729.28x = 73,144,951,560.66
  5. Step 5: Solve for x
    x = 73,144,951,560.66/312,729.28
  6. Step 6: Final answer
    x = 233,892.24

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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.