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Finding the Fourth Proportional to 551,747.20, 827,620.80 and 285,589.30

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Solution

The fourth proportional to 551,747.20, 827,620.80 and 285,589.30 is: 428,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,747.20 : 827,620.80 = 285,589.30 : x
  2. Step 2: Convert to fraction form
    551,747.20/827,620.80 = 285,589.30/x
  3. Step 3: Cross multiply
    551,747.20x = 827,620.80 × 285,589.30
  4. Step 4: Simplify right side
    551,747.20x = 236,359,644,937.44
  5. Step 5: Solve for x
    x = 236,359,644,937.44/551,747.20
  6. Step 6: Final answer
    x = 428,383.95

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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.