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Finding the Fourth Proportional to 342,449.52, 512,977.96 and 279,494

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Solution

The fourth proportional to 342,449.52, 512,977.96 and 279,494 is: 418,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,449.52 : 512,977.96 = 279,494 : x
  2. Step 2: Convert to fraction form
    342,449.52/512,977.96 = 279,494/x
  3. Step 3: Cross multiply
    342,449.52x = 512,977.96 × 279,494
  4. Step 4: Simplify right side
    342,449.52x = 143,374,261,952.24
  5. Step 5: Solve for x
    x = 143,374,261,952.24/342,449.52
  6. Step 6: Final answer
    x = 418,672.69

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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.