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Finding the Fourth Proportional to 280,127.20, 420,126.72 and 80,446

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Solution

The fourth proportional to 280,127.20, 420,126.72 and 80,446 is: 120,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,127.20 : 420,126.72 = 80,446 : x
  2. Step 2: Convert to fraction form
    280,127.20/420,126.72 = 80,446/x
  3. Step 3: Cross multiply
    280,127.20x = 420,126.72 × 80,446
  4. Step 4: Simplify right side
    280,127.20x = 33,797,514,117.12
  5. Step 5: Solve for x
    x = 33,797,514,117.12/280,127.20
  6. Step 6: Final answer
    x = 120,650.60

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1.5x scale

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.