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Finding the Fourth Proportional to 342,446.52, 512,973.46 and 279,491

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Solution

The fourth proportional to 342,446.52, 512,973.46 and 279,491 is: 418,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,446.52 : 512,973.46 = 279,491 : x
  2. Step 2: Convert to fraction form
    342,446.52/512,973.46 = 279,491/x
  3. Step 3: Cross multiply
    342,446.52x = 512,973.46 × 279,491
  4. Step 4: Simplify right side
    342,446.52x = 143,371,465,308.86
  5. Step 5: Solve for x
    x = 143,371,465,308.86/342,446.52
  6. Step 6: Final answer
    x = 418,668.19

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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.