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Finding the Fourth Proportional to 280,063.80, 420,037.68 and 80,339.76

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Solution

The fourth proportional to 280,063.80, 420,037.68 and 80,339.76 is: 120,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,063.80 : 420,037.68 = 80,339.76 : x
  2. Step 2: Convert to fraction form
    280,063.80/420,037.68 = 80,339.76/x
  3. Step 3: Cross multiply
    280,063.80x = 420,037.68 × 80,339.76
  4. Step 4: Simplify right side
    280,063.80x = 33,745,726,402.16
  5. Step 5: Solve for x
    x = 33,745,726,402.16/280,063.80
  6. Step 6: Final answer
    x = 120,493.00

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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.