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Finding the Fourth Proportional to 512,814.70, 769,222.62 and 133,735.18

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Solution

The fourth proportional to 512,814.70, 769,222.62 and 133,735.18 is: 200,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,814.70 : 769,222.62 = 133,735.18 : x
  2. Step 2: Convert to fraction form
    512,814.70/769,222.62 = 133,735.18/x
  3. Step 3: Cross multiply
    512,814.70x = 769,222.62 × 133,735.18
  4. Step 4: Simplify right side
    512,814.70x = 102,872,125,545.77
  5. Step 5: Solve for x
    x = 102,872,125,545.77/512,814.70
  6. Step 6: Final answer
    x = 200,602.92

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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.