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Finding the Fourth Proportional to 649,632.72, 974,617.20 and 200,343.64

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Solution

The fourth proportional to 649,632.72, 974,617.20 and 200,343.64 is: 300,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,632.72 : 974,617.20 = 200,343.64 : x
  2. Step 2: Convert to fraction form
    649,632.72/974,617.20 = 200,343.64/x
  3. Step 3: Cross multiply
    649,632.72x = 974,617.20 × 200,343.64
  4. Step 4: Simplify right side
    649,632.72x = 195,258,357,454.61
  5. Step 5: Solve for x
    x = 195,258,357,454.61/649,632.72
  6. Step 6: Final answer
    x = 300,567.31

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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.