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Finding the Fourth Proportional to 342,447.52, 512,974.96 and 279,492

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Solution

The fourth proportional to 342,447.52, 512,974.96 and 279,492 is: 418,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,447.52 : 512,974.96 = 279,492 : x
  2. Step 2: Convert to fraction form
    342,447.52/512,974.96 = 279,492/x
  3. Step 3: Cross multiply
    342,447.52x = 512,974.96 × 279,492
  4. Step 4: Simplify right side
    342,447.52x = 143,372,397,520.32
  5. Step 5: Solve for x
    x = 143,372,397,520.32/342,447.52
  6. Step 6: Final answer
    x = 418,669.69

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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.