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Finding the Fourth Proportional to 512,054.70, 768,082.05 and 192,205.95

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Solution

The fourth proportional to 512,054.70, 768,082.05 and 192,205.95 is: 288,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,054.70 : 768,082.05 = 192,205.95 : x
  2. Step 2: Convert to fraction form
    512,054.70/768,082.05 = 192,205.95/x
  3. Step 3: Cross multiply
    512,054.70x = 768,082.05 × 192,205.95
  4. Step 4: Simplify right side
    512,054.70x = 147,629,940,098.20
  5. Step 5: Solve for x
    x = 147,629,940,098.20/512,054.70
  6. Step 6: Final answer
    x = 288,308.93

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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.