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Finding the Fourth Proportional to 312,481.56, 431,224.42 and 169,241.61

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Solution

The fourth proportional to 312,481.56, 431,224.42 and 169,241.61 is: 233,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,481.56 : 431,224.42 = 169,241.61 : x
  2. Step 2: Convert to fraction form
    312,481.56/431,224.42 = 169,241.61/x
  3. Step 3: Cross multiply
    312,481.56x = 431,224.42 × 169,241.61
  4. Step 4: Simplify right side
    312,481.56x = 72,981,115,112.12
  5. Step 5: Solve for x
    x = 72,981,115,112.12/312,481.56
  6. Step 6: Final answer
    x = 233,553.35

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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.