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Finding the Fourth Proportional to 433,013.78, 649,580.81 and 133,517.90

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Solution

The fourth proportional to 433,013.78, 649,580.81 and 133,517.90 is: 200,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,013.78 : 649,580.81 = 133,517.90 : x
  2. Step 2: Convert to fraction form
    433,013.78/649,580.81 = 133,517.90/x
  3. Step 3: Cross multiply
    433,013.78x = 649,580.81 × 133,517.90
  4. Step 4: Simplify right side
    433,013.78x = 86,730,661,716.01
  5. Step 5: Solve for x
    x = 86,730,661,716.01/433,013.78
  6. Step 6: Final answer
    x = 200,295.39

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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.