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Finding the Fourth Proportional to 649,407.06, 974,202.02 and 200,164.14

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Solution

The fourth proportional to 649,407.06, 974,202.02 and 200,164.14 is: 300,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,407.06 : 974,202.02 = 200,164.14 : x
  2. Step 2: Convert to fraction form
    649,407.06/974,202.02 = 200,164.14/x
  3. Step 3: Cross multiply
    649,407.06x = 974,202.02 × 200,164.14
  4. Step 4: Simplify right side
    649,407.06x = 195,000,309,519.56
  5. Step 5: Solve for x
    x = 195,000,309,519.56/649,407.06
  6. Step 6: Final answer
    x = 300,274.39

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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.