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Finding the Fourth Proportional to 300,772, 451,188.48 and 111,282.40

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Solution

The fourth proportional to 300,772, 451,188.48 and 111,282.40 is: 166,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,772 : 451,188.48 = 111,282.40 : x
  2. Step 2: Convert to fraction form
    300,772/451,188.48 = 111,282.40/x
  3. Step 3: Cross multiply
    300,772x = 451,188.48 × 111,282.40
  4. Step 4: Simplify right side
    300,772x = 50,209,336,906.75
  5. Step 5: Solve for x
    x = 50,209,336,906.75/300,772
  6. Step 6: Final answer
    x = 166,934.88

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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.