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Finding the Fourth Proportional to 512,841.60, 769,404.60 and 213,463.20

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Solution

The fourth proportional to 512,841.60, 769,404.60 and 213,463.20 is: 320,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,841.60 : 769,404.60 = 213,463.20 : x
  2. Step 2: Convert to fraction form
    512,841.60/769,404.60 = 213,463.20/x
  3. Step 3: Cross multiply
    512,841.60x = 769,404.60 × 213,463.20
  4. Step 4: Simplify right side
    512,841.60x = 164,239,568,010.72
  5. Step 5: Solve for x
    x = 164,239,568,010.72/512,841.60
  6. Step 6: Final answer
    x = 320,253.99

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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.