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Finding the Fourth Proportional to 280,391.92, 420,593.72 and 100,489.04

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Solution

The fourth proportional to 280,391.92, 420,593.72 and 100,489.04 is: 150,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,391.92 : 420,593.72 = 100,489.04 : x
  2. Step 2: Convert to fraction form
    280,391.92/420,593.72 = 100,489.04/x
  3. Step 3: Cross multiply
    280,391.92x = 420,593.72 × 100,489.04
  4. Step 4: Simplify right side
    280,391.92x = 42,265,059,152.83
  5. Step 5: Solve for x
    x = 42,265,059,152.83/280,391.92
  6. Step 6: Final answer
    x = 150,735.65

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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.