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Finding the Fourth Proportional to 280,168.12, 420,255.04 and 80,488

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Solution

The fourth proportional to 280,168.12, 420,255.04 and 80,488 is: 120,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,168.12 : 420,255.04 = 80,488 : x
  2. Step 2: Convert to fraction form
    280,168.12/420,255.04 = 80,488/x
  3. Step 3: Cross multiply
    280,168.12x = 420,255.04 × 80,488
  4. Step 4: Simplify right side
    280,168.12x = 33,825,487,659.52
  5. Step 5: Solve for x
    x = 33,825,487,659.52/280,168.12
  6. Step 6: Final answer
    x = 120,732.82

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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.