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Finding the Fourth Proportional to 649,740.72, 974,546.82 and 200,340.30

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Solution

The fourth proportional to 649,740.72, 974,546.82 and 200,340.30 is: 300,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,740.72 : 974,546.82 = 200,340.30 : x
  2. Step 2: Convert to fraction form
    649,740.72/974,546.82 = 200,340.30/x
  3. Step 3: Cross multiply
    649,740.72x = 974,546.82 × 200,340.30
  4. Step 4: Simplify right side
    649,740.72x = 195,241,002,282.85
  5. Step 5: Solve for x
    x = 195,241,002,282.85/649,740.72
  6. Step 6: Final answer
    x = 300,490.64

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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.