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Finding the Fourth Proportional to 392,934, 589,401 and 143,616

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Solution

The fourth proportional to 392,934, 589,401 and 143,616 is: 215,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,934 : 589,401 = 143,616 : x
  2. Step 2: Convert to fraction form
    392,934/589,401 = 143,616/x
  3. Step 3: Cross multiply
    392,934x = 589,401 × 143,616
  4. Step 4: Simplify right side
    392,934x = 84,647,414,016
  5. Step 5: Solve for x
    x = 84,647,414,016/392,934
  6. Step 6: Final answer
    x = 215,424

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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.