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Finding the Fourth Proportional to 256,778.97, 385,542.33 and 182,294.61

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Solution

The fourth proportional to 256,778.97, 385,542.33 and 182,294.61 is: 273,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,778.97 : 385,542.33 = 182,294.61 : x
  2. Step 2: Convert to fraction form
    256,778.97/385,542.33 = 182,294.61/x
  3. Step 3: Cross multiply
    256,778.97x = 385,542.33 × 182,294.61
  4. Step 4: Simplify right side
    256,778.97x = 70,282,288,685.84
  5. Step 5: Solve for x
    x = 70,282,288,685.84/256,778.97
  6. Step 6: Final answer
    x = 273,707.34

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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.