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Finding the Fourth Proportional to 280,591.81, 420,949.91 and 80,896.61

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Solution

The fourth proportional to 280,591.81, 420,949.91 and 80,896.61 is: 121,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,591.81 : 420,949.91 = 80,896.61 : x
  2. Step 2: Convert to fraction form
    280,591.81/420,949.91 = 80,896.61/x
  3. Step 3: Cross multiply
    280,591.81x = 420,949.91 × 80,896.61
  4. Step 4: Simplify right side
    280,591.81x = 34,053,421,103.74
  5. Step 5: Solve for x
    x = 34,053,421,103.74/280,591.81
  6. Step 6: Final answer
    x = 121,362.85

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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.