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Finding the Fourth Proportional to 512,208.80, 768,082.80 and 196,560.80

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Solution

The fourth proportional to 512,208.80, 768,082.80 and 196,560.80 is: 294,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,208.80 : 768,082.80 = 196,560.80 : x
  2. Step 2: Convert to fraction form
    512,208.80/768,082.80 = 196,560.80/x
  3. Step 3: Cross multiply
    512,208.80x = 768,082.80 × 196,560.80
  4. Step 4: Simplify right side
    512,208.80x = 150,974,969,634.24
  5. Step 5: Solve for x
    x = 150,974,969,634.24/512,208.80
  6. Step 6: Final answer
    x = 294,752.78

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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.