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Finding the Fourth Proportional to 512,807.70, 769,212.09 and 133,728.15

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Solution

The fourth proportional to 512,807.70, 769,212.09 and 133,728.15 is: 200,592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,807.70 : 769,212.09 = 133,728.15 : x
  2. Step 2: Convert to fraction form
    512,807.70/769,212.09 = 133,728.15/x
  3. Step 3: Cross multiply
    512,807.70x = 769,212.09 × 133,728.15
  4. Step 4: Simplify right side
    512,807.70x = 102,865,309,753.33
  5. Step 5: Solve for x
    x = 102,865,309,753.33/512,807.70
  6. Step 6: Final answer
    x = 200,592.37

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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.