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Finding the Fourth Proportional to 394,098.72, 591,231.10 and 127,838.48

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Solution

The fourth proportional to 394,098.72, 591,231.10 and 127,838.48 is: 191,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,098.72 : 591,231.10 = 127,838.48 : x
  2. Step 2: Convert to fraction form
    394,098.72/591,231.10 = 127,838.48/x
  3. Step 3: Cross multiply
    394,098.72x = 591,231.10 × 127,838.48
  4. Step 4: Simplify right side
    394,098.72x = 75,582,085,152.73
  5. Step 5: Solve for x
    x = 75,582,085,152.73/394,098.72
  6. Step 6: Final answer
    x = 191,784.65

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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.