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Finding the Fourth Proportional to 512,098.20, 769,022.10 and 275,902.20

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Solution

The fourth proportional to 512,098.20, 769,022.10 and 275,902.20 is: 414,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,098.20 : 769,022.10 = 275,902.20 : x
  2. Step 2: Convert to fraction form
    512,098.20/769,022.10 = 275,902.20/x
  3. Step 3: Cross multiply
    512,098.20x = 769,022.10 × 275,902.20
  4. Step 4: Simplify right side
    512,098.20x = 212,174,889,238.62
  5. Step 5: Solve for x
    x = 212,174,889,238.62/512,098.20
  6. Step 6: Final answer
    x = 414,324.61

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1.5x scale

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.