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Finding the Fourth Proportional to 394,097.72, 591,229.60 and 127,837.48

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Solution

The fourth proportional to 394,097.72, 591,229.60 and 127,837.48 is: 191,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,097.72 : 591,229.60 = 127,837.48 : x
  2. Step 2: Convert to fraction form
    394,097.72/591,229.60 = 127,837.48/x
  3. Step 3: Cross multiply
    394,097.72x = 591,229.60 × 127,837.48
  4. Step 4: Simplify right side
    394,097.72x = 75,581,302,165.41
  5. Step 5: Solve for x
    x = 75,581,302,165.41/394,097.72
  6. Step 6: Final answer
    x = 191,783.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.