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Finding the Fourth Proportional to 383,222.80, 574,834.20 and 133,872.40

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Solution

The fourth proportional to 383,222.80, 574,834.20 and 133,872.40 is: 200,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,222.80 : 574,834.20 = 133,872.40 : x
  2. Step 2: Convert to fraction form
    383,222.80/574,834.20 = 133,872.40/x
  3. Step 3: Cross multiply
    383,222.80x = 574,834.20 × 133,872.40
  4. Step 4: Simplify right side
    383,222.80x = 76,954,433,956.08
  5. Step 5: Solve for x
    x = 76,954,433,956.08/383,222.80
  6. Step 6: Final answer
    x = 200,808.60

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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.