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Finding the Fourth Proportional to 512,110.20, 768,165.30 and 352,677.90

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Solution

The fourth proportional to 512,110.20, 768,165.30 and 352,677.90 is: 529,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,110.20 : 768,165.30 = 352,677.90 : x
  2. Step 2: Convert to fraction form
    512,110.20/768,165.30 = 352,677.90/x
  3. Step 3: Cross multiply
    512,110.20x = 768,165.30 × 352,677.90
  4. Step 4: Simplify right side
    512,110.20x = 270,914,924,856.87
  5. Step 5: Solve for x
    x = 270,914,924,856.87/512,110.20
  6. Step 6: Final answer
    x = 529,016.85

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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.