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Finding the Fourth Proportional to 285,753.91, 394,344.85 and 156,704.17

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Solution

The fourth proportional to 285,753.91, 394,344.85 and 156,704.17 is: 216,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,753.91 : 394,344.85 = 156,704.17 : x
  2. Step 2: Convert to fraction form
    285,753.91/394,344.85 = 156,704.17/x
  3. Step 3: Cross multiply
    285,753.91x = 394,344.85 × 156,704.17
  4. Step 4: Simplify right side
    285,753.91x = 61,795,481,035.40
  5. Step 5: Solve for x
    x = 61,795,481,035.40/285,753.91
  6. Step 6: Final answer
    x = 216,254.19

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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.