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Finding the Fourth Proportional to 394,775.75, 592,101.80 and 128,534.47

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Solution

The fourth proportional to 394,775.75, 592,101.80 and 128,534.47 is: 192,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,775.75 : 592,101.80 = 128,534.47 : x
  2. Step 2: Convert to fraction form
    394,775.75/592,101.80 = 128,534.47/x
  3. Step 3: Cross multiply
    394,775.75x = 592,101.80 × 128,534.47
  4. Step 4: Simplify right side
    394,775.75x = 76,105,491,073.41
  5. Step 5: Solve for x
    x = 76,105,491,073.41/394,775.75
  6. Step 6: Final answer
    x = 192,781.58

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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.