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Finding the Fourth Proportional to 512,198.40, 768,297.60 and 157,213.20

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Solution

The fourth proportional to 512,198.40, 768,297.60 and 157,213.20 is: 235,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,198.40 : 768,297.60 = 157,213.20 : x
  2. Step 2: Convert to fraction form
    512,198.40/768,297.60 = 157,213.20/x
  3. Step 3: Cross multiply
    512,198.40x = 768,297.60 × 157,213.20
  4. Step 4: Simplify right side
    512,198.40x = 120,786,524,248.32
  5. Step 5: Solve for x
    x = 120,786,524,248.32/512,198.40
  6. Step 6: Final answer
    x = 235,819.80

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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.