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Finding the Fourth Proportional to 383,190, 574,794.72 and 133,872

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Solution

The fourth proportional to 383,190, 574,794.72 and 133,872 is: 200,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,190 : 574,794.72 = 133,872 : x
  2. Step 2: Convert to fraction form
    383,190/574,794.72 = 133,872/x
  3. Step 3: Cross multiply
    383,190x = 574,794.72 × 133,872
  4. Step 4: Simplify right side
    383,190x = 76,948,918,755.84
  5. Step 5: Solve for x
    x = 76,948,918,755.84/383,190
  6. Step 6: Final answer
    x = 200,811.40

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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.