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Finding the Fourth Proportional to 649,705.69, 974,650.08 and 200,463.10

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Solution

The fourth proportional to 649,705.69, 974,650.08 and 200,463.10 is: 300,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,705.69 : 974,650.08 = 200,463.10 : x
  2. Step 2: Convert to fraction form
    649,705.69/974,650.08 = 200,463.10/x
  3. Step 3: Cross multiply
    649,705.69x = 974,650.08 × 200,463.10
  4. Step 4: Simplify right side
    649,705.69x = 195,381,376,452.05
  5. Step 5: Solve for x
    x = 195,381,376,452.05/649,705.69
  6. Step 6: Final answer
    x = 300,722.90

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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.