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Finding the Fourth Proportional to 512,736.97, 707,591.28 and 283,309.04

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Solution

The fourth proportional to 512,736.97, 707,591.28 and 283,309.04 is: 390,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,736.97 : 707,591.28 = 283,309.04 : x
  2. Step 2: Convert to fraction form
    512,736.97/707,591.28 = 283,309.04/x
  3. Step 3: Cross multiply
    512,736.97x = 707,591.28 × 283,309.04
  4. Step 4: Simplify right side
    512,736.97x = 200,467,002,711.22
  5. Step 5: Solve for x
    x = 200,467,002,711.22/512,736.97
  6. Step 6: Final answer
    x = 390,974.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.