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Finding the Fourth Proportional to 649,381.56, 974,163.84 and 200,138.76

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Solution

The fourth proportional to 649,381.56, 974,163.84 and 200,138.76 is: 300,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,381.56 : 974,163.84 = 200,138.76 : x
  2. Step 2: Convert to fraction form
    649,381.56/974,163.84 = 200,138.76/x
  3. Step 3: Cross multiply
    649,381.56x = 974,163.84 × 200,138.76
  4. Step 4: Simplify right side
    649,381.56x = 194,967,942,974.44
  5. Step 5: Solve for x
    x = 194,967,942,974.44/649,381.56
  6. Step 6: Final answer
    x = 300,236.34

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Double scale
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1.5x scale

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.