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Finding the Fourth Proportional to 649,871.76, 974,432.41 and 200,471.96

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Solution

The fourth proportional to 649,871.76, 974,432.41 and 200,471.96 is: 300,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,871.76 : 974,432.41 = 200,471.96 : x
  2. Step 2: Convert to fraction form
    649,871.76/974,432.41 = 200,471.96/x
  3. Step 3: Cross multiply
    649,871.76x = 974,432.41 × 200,471.96
  4. Step 4: Simplify right side
    649,871.76x = 195,346,375,120.22
  5. Step 5: Solve for x
    x = 195,346,375,120.22/649,871.76
  6. Step 6: Final answer
    x = 300,592.19

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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.