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Finding the Fourth Proportional to 280,383.90, 420,581.70 and 100,481.04

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Solution

The fourth proportional to 280,383.90, 420,581.70 and 100,481.04 is: 150,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,383.90 : 420,581.70 = 100,481.04 : x
  2. Step 2: Convert to fraction form
    280,383.90/420,581.70 = 100,481.04/x
  3. Step 3: Cross multiply
    280,383.90x = 420,581.70 × 100,481.04
  4. Step 4: Simplify right side
    280,383.90x = 42,260,486,620.97
  5. Step 5: Solve for x
    x = 42,260,486,620.97/280,383.90
  6. Step 6: Final answer
    x = 150,723.66

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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.