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Finding the Fourth Proportional to 551,774.70, 827,662.05 and 285,616.80

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Solution

The fourth proportional to 551,774.70, 827,662.05 and 285,616.80 is: 428,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,774.70 : 827,662.05 = 285,616.80 : x
  2. Step 2: Convert to fraction form
    551,774.70/827,662.05 = 285,616.80/x
  3. Step 3: Cross multiply
    551,774.70x = 827,662.05 × 285,616.80
  4. Step 4: Simplify right side
    551,774.70x = 236,394,186,202.44
  5. Step 5: Solve for x
    x = 236,394,186,202.44/551,774.70
  6. Step 6: Final answer
    x = 428,425.20

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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.