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Finding the Fourth Proportional to 264,919.20, 397,378.80 and 115,231.20

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Solution

The fourth proportional to 264,919.20, 397,378.80 and 115,231.20 is: 172,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,919.20 : 397,378.80 = 115,231.20 : x
  2. Step 2: Convert to fraction form
    264,919.20/397,378.80 = 115,231.20/x
  3. Step 3: Cross multiply
    264,919.20x = 397,378.80 × 115,231.20
  4. Step 4: Simplify right side
    264,919.20x = 45,790,435,978.56
  5. Step 5: Solve for x
    x = 45,790,435,978.56/264,919.20
  6. Step 6: Final answer
    x = 172,846.80

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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.