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Finding the Fourth Proportional to 285,414.75, 393,872.36 and 158,098.59

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Solution

The fourth proportional to 285,414.75, 393,872.36 and 158,098.59 is: 218,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,414.75 : 393,872.36 = 158,098.59 : x
  2. Step 2: Convert to fraction form
    285,414.75/393,872.36 = 158,098.59/x
  3. Step 3: Cross multiply
    285,414.75x = 393,872.36 × 158,098.59
  4. Step 4: Simplify right side
    285,414.75x = 62,270,663,965.48
  5. Step 5: Solve for x
    x = 62,270,663,965.48/285,414.75
  6. Step 6: Final answer
    x = 218,176.05

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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.