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Finding the Fourth Proportional to 399,632, 599,434.18 and 100,115.20

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Solution

The fourth proportional to 399,632, 599,434.18 and 100,115.20 is: 150,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,632 : 599,434.18 = 100,115.20 : x
  2. Step 2: Convert to fraction form
    399,632/599,434.18 = 100,115.20/x
  3. Step 3: Cross multiply
    399,632x = 599,434.18 × 100,115.20
  4. Step 4: Simplify right side
    399,632x = 60,012,472,817.54
  5. Step 5: Solve for x
    x = 60,012,472,817.54/399,632
  6. Step 6: Final answer
    x = 150,169.34

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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.