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Finding the Fourth Proportional to 649,387.56, 974,172.84 and 200,144.76

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Solution

The fourth proportional to 649,387.56, 974,172.84 and 200,144.76 is: 300,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,387.56 : 974,172.84 = 200,144.76 : x
  2. Step 2: Convert to fraction form
    649,387.56/974,172.84 = 200,144.76/x
  3. Step 3: Cross multiply
    649,387.56x = 974,172.84 × 200,144.76
  4. Step 4: Simplify right side
    649,387.56x = 194,975,589,260.32
  5. Step 5: Solve for x
    x = 194,975,589,260.32/649,387.56
  6. Step 6: Final answer
    x = 300,245.34

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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.