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Finding the Fourth Proportional to 300,727.82, 451,091.55 and 280,798.80

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Solution

The fourth proportional to 300,727.82, 451,091.55 and 280,798.80 is: 421,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,727.82 : 451,091.55 = 280,798.80 : x
  2. Step 2: Convert to fraction form
    300,727.82/451,091.55 = 280,798.80/x
  3. Step 3: Cross multiply
    300,727.82x = 451,091.55 × 280,798.80
  4. Step 4: Simplify right side
    300,727.82x = 126,665,965,930.14
  5. Step 5: Solve for x
    x = 126,665,965,930.14/300,727.82
  6. Step 6: Final answer
    x = 421,198.04

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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.