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Finding the Fourth Proportional to 649,872.64, 974,433.74 and 200,472.84

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Solution

The fourth proportional to 649,872.64, 974,433.74 and 200,472.84 is: 300,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,872.64 : 974,433.74 = 200,472.84 : x
  2. Step 2: Convert to fraction form
    649,872.64/974,433.74 = 200,472.84/x
  3. Step 3: Cross multiply
    649,872.64x = 974,433.74 × 200,472.84
  4. Step 4: Simplify right side
    649,872.64x = 195,347,499,249.62
  5. Step 5: Solve for x
    x = 195,347,499,249.62/649,872.64
  6. Step 6: Final answer
    x = 300,593.51

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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.