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Finding the Fourth Proportional to 285,592, 394,132.68 and 158,264.80

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Solution

The fourth proportional to 285,592, 394,132.68 and 158,264.80 is: 218,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,592 : 394,132.68 = 158,264.80 : x
  2. Step 2: Convert to fraction form
    285,592/394,132.68 = 158,264.80/x
  3. Step 3: Cross multiply
    285,592x = 394,132.68 × 158,264.80
  4. Step 4: Simplify right side
    285,592x = 62,377,329,773.66
  5. Step 5: Solve for x
    x = 62,377,329,773.66/285,592
  6. Step 6: Final answer
    x = 218,414.14

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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.