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Finding the Fourth Proportional to 512,958.80, 769,481.94 and 133,929.83

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Solution

The fourth proportional to 512,958.80, 769,481.94 and 133,929.83 is: 200,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,958.80 : 769,481.94 = 133,929.83 : x
  2. Step 2: Convert to fraction form
    512,958.80/769,481.94 = 133,929.83/x
  3. Step 3: Cross multiply
    512,958.80x = 769,481.94 × 133,929.83
  4. Step 4: Simplify right side
    512,958.80x = 103,056,585,412.27
  5. Step 5: Solve for x
    x = 103,056,585,412.27/512,958.80
  6. Step 6: Final answer
    x = 200,906.17

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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.