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Finding the Fourth Proportional to 649,387.40, 974,234.70 and 206,155.40

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Solution

The fourth proportional to 649,387.40, 974,234.70 and 206,155.40 is: 309,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,387.40 : 974,234.70 = 206,155.40 : x
  2. Step 2: Convert to fraction form
    649,387.40/974,234.70 = 206,155.40/x
  3. Step 3: Cross multiply
    649,387.40x = 974,234.70 × 206,155.40
  4. Step 4: Simplify right side
    649,387.40x = 200,843,744,272.38
  5. Step 5: Solve for x
    x = 200,843,744,272.38/649,387.40
  6. Step 6: Final answer
    x = 309,281.86

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Double scale
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Similar ratio
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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.