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Finding the Fourth Proportional to 911,466.84, 1,367,080.38 and 280,327.80

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Solution

The fourth proportional to 911,466.84, 1,367,080.38 and 280,327.80 is: 420,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,466.84 : 1,367,080.38 = 280,327.80 : x
  2. Step 2: Convert to fraction form
    911,466.84/1,367,080.38 = 280,327.80/x
  3. Step 3: Cross multiply
    911,466.84x = 1,367,080.38 × 280,327.80
  4. Step 4: Simplify right side
    911,466.84x = 383,230,635,348.56
  5. Step 5: Solve for x
    x = 383,230,635,348.56/911,466.84
  6. Step 6: Final answer
    x = 420,454.83

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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.