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Finding the Fourth Proportional to 645,082.70, 967,508.85 and 408,001.10

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Solution

The fourth proportional to 645,082.70, 967,508.85 and 408,001.10 is: 611,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,082.70 : 967,508.85 = 408,001.10 : x
  2. Step 2: Convert to fraction form
    645,082.70/967,508.85 = 408,001.10/x
  3. Step 3: Cross multiply
    645,082.70x = 967,508.85 × 408,001.10
  4. Step 4: Simplify right side
    645,082.70x = 394,744,675,059.74
  5. Step 5: Solve for x
    x = 394,744,675,059.74/645,082.70
  6. Step 6: Final answer
    x = 611,928.79

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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.