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Finding the Fourth Proportional to 280,227.76, 420,255.40 and 80,494.48

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Solution

The fourth proportional to 280,227.76, 420,255.40 and 80,494.48 is: 120,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,227.76 : 420,255.40 = 80,494.48 : x
  2. Step 2: Convert to fraction form
    280,227.76/420,255.40 = 80,494.48/x
  3. Step 3: Cross multiply
    280,227.76x = 420,255.40 × 80,494.48
  4. Step 4: Simplify right side
    280,227.76x = 33,828,239,890.19
  5. Step 5: Solve for x
    x = 33,828,239,890.19/280,227.76
  6. Step 6: Final answer
    x = 120,716.95

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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.