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Finding the Fourth Proportional to 408,722.28, 612,524.52 and 308,800.68

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Solution

The fourth proportional to 408,722.28, 612,524.52 and 308,800.68 is: 462,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,722.28 : 612,524.52 = 308,800.68 : x
  2. Step 2: Convert to fraction form
    408,722.28/612,524.52 = 308,800.68/x
  3. Step 3: Cross multiply
    408,722.28x = 612,524.52 × 308,800.68
  4. Step 4: Simplify right side
    408,722.28x = 189,147,988,292.67
  5. Step 5: Solve for x
    x = 189,147,988,292.67/408,722.28
  6. Step 6: Final answer
    x = 462,778.76

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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.