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Finding the Fourth Proportional to 312,839.70, 431,721 and 169,602

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Solution

The fourth proportional to 312,839.70, 431,721 and 169,602 is: 234,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,839.70 : 431,721 = 169,602 : x
  2. Step 2: Convert to fraction form
    312,839.70/431,721 = 169,602/x
  3. Step 3: Cross multiply
    312,839.70x = 431,721 × 169,602
  4. Step 4: Simplify right side
    312,839.70x = 73,220,745,042
  5. Step 5: Solve for x
    x = 73,220,745,042/312,839.70
  6. Step 6: Final answer
    x = 234,051.96

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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.