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Finding the Fourth Proportional to 649,480.40, 974,047.80 and 200,200.40

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Solution

The fourth proportional to 649,480.40, 974,047.80 and 200,200.40 is: 300,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,480.40 : 974,047.80 = 200,200.40 : x
  2. Step 2: Convert to fraction form
    649,480.40/974,047.80 = 200,200.40/x
  3. Step 3: Cross multiply
    649,480.40x = 974,047.80 × 200,200.40
  4. Step 4: Simplify right side
    649,480.40x = 195,004,759,179.12
  5. Step 5: Solve for x
    x = 195,004,759,179.12/649,480.40
  6. Step 6: Final answer
    x = 300,247.33

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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.