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Finding the Fourth Proportional to 433,039.72, 649,517.81 and 133,439.86

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Solution

The fourth proportional to 433,039.72, 649,517.81 and 133,439.86 is: 200,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,039.72 : 649,517.81 = 133,439.86 : x
  2. Step 2: Convert to fraction form
    433,039.72/649,517.81 = 133,439.86/x
  3. Step 3: Cross multiply
    433,039.72x = 649,517.81 × 133,439.86
  4. Step 4: Simplify right side
    433,039.72x = 86,671,563,250.97
  5. Step 5: Solve for x
    x = 86,671,563,250.97/433,039.72
  6. Step 6: Final answer
    x = 200,146.91

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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.