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Finding the Fourth Proportional to 649,431.40, 974,300.70 and 206,199.40

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Solution

The fourth proportional to 649,431.40, 974,300.70 and 206,199.40 is: 309,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,431.40 : 974,300.70 = 206,199.40 : x
  2. Step 2: Convert to fraction form
    649,431.40/974,300.70 = 206,199.40/x
  3. Step 3: Cross multiply
    649,431.40x = 974,300.70 × 206,199.40
  4. Step 4: Simplify right side
    649,431.40x = 200,900,219,759.58
  5. Step 5: Solve for x
    x = 200,900,219,759.58/649,431.40
  6. Step 6: Final answer
    x = 309,347.87

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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.