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Finding the Fourth Proportional to 279,589.20, 418,969.08 and 205,354.32

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Solution

The fourth proportional to 279,589.20, 418,969.08 and 205,354.32 is: 307,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,589.20 : 418,969.08 = 205,354.32 : x
  2. Step 2: Convert to fraction form
    279,589.20/418,969.08 = 205,354.32/x
  3. Step 3: Cross multiply
    279,589.20x = 418,969.08 × 205,354.32
  4. Step 4: Simplify right side
    279,589.20x = 86,037,110,524.43
  5. Step 5: Solve for x
    x = 86,037,110,524.43/279,589.20
  6. Step 6: Final answer
    x = 307,726.87

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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.