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Finding the Fourth Proportional to 512,801.97, 769,478.36 and 213,489.15

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Solution

The fourth proportional to 512,801.97, 769,478.36 and 213,489.15 is: 320,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,801.97 : 769,478.36 = 213,489.15 : x
  2. Step 2: Convert to fraction form
    512,801.97/769,478.36 = 213,489.15/x
  3. Step 3: Cross multiply
    512,801.97x = 769,478.36 × 213,489.15
  4. Step 4: Simplify right side
    512,801.97x = 164,275,279,952.35
  5. Step 5: Solve for x
    x = 164,275,279,952.35/512,801.97
  6. Step 6: Final answer
    x = 320,348.38

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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.