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Finding the Fourth Proportional to 433,138.33, 649,781.48 and 133,613.29

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Solution

The fourth proportional to 433,138.33, 649,781.48 and 133,613.29 is: 200,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,138.33 : 649,781.48 = 133,613.29 : x
  2. Step 2: Convert to fraction form
    433,138.33/649,781.48 = 133,613.29/x
  3. Step 3: Cross multiply
    433,138.33x = 649,781.48 × 133,613.29
  4. Step 4: Simplify right side
    433,138.33x = 86,819,441,323.87
  5. Step 5: Solve for x
    x = 86,819,441,323.87/433,138.33
  6. Step 6: Final answer
    x = 200,442.76

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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.