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Finding the Fourth Proportional to 551,353.32, 827,354.97 and 231,561.30

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Solution

The fourth proportional to 551,353.32, 827,354.97 and 231,561.30 is: 347,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,353.32 : 827,354.97 = 231,561.30 : x
  2. Step 2: Convert to fraction form
    551,353.32/827,354.97 = 231,561.30/x
  3. Step 3: Cross multiply
    551,353.32x = 827,354.97 × 231,561.30
  4. Step 4: Simplify right side
    551,353.32x = 191,583,392,414.66
  5. Step 5: Solve for x
    x = 191,583,392,414.66/551,353.32
  6. Step 6: Final answer
    x = 347,478.44

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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.