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Finding the Fourth Proportional to 312,635.86, 468,952.56 and 75,979.24

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Solution

The fourth proportional to 312,635.86, 468,952.56 and 75,979.24 is: 113,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,635.86 : 468,952.56 = 75,979.24 : x
  2. Step 2: Convert to fraction form
    312,635.86/468,952.56 = 75,979.24/x
  3. Step 3: Cross multiply
    312,635.86x = 468,952.56 × 75,979.24
  4. Step 4: Simplify right side
    312,635.86x = 35,630,659,104.85
  5. Step 5: Solve for x
    x = 35,630,659,104.85/312,635.86
  6. Step 6: Final answer
    x = 113,968.56

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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.