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Finding the Fourth Proportional to 386,908.28, 580,138.92 and 149,974.16

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Solution

The fourth proportional to 386,908.28, 580,138.92 and 149,974.16 is: 224,874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,908.28 : 580,138.92 = 149,974.16 : x
  2. Step 2: Convert to fraction form
    386,908.28/580,138.92 = 149,974.16/x
  3. Step 3: Cross multiply
    386,908.28x = 580,138.92 × 149,974.16
  4. Step 4: Simplify right side
    386,908.28x = 87,005,847,210.31
  5. Step 5: Solve for x
    x = 87,005,847,210.31/386,908.28
  6. Step 6: Final answer
    x = 224,874.61

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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.