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Finding the Fourth Proportional to 395,924.75, 593,986.15 and 115,442

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Solution

The fourth proportional to 395,924.75, 593,986.15 and 115,442 is: 173,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,924.75 : 593,986.15 = 115,442 : x
  2. Step 2: Convert to fraction form
    395,924.75/593,986.15 = 115,442/x
  3. Step 3: Cross multiply
    395,924.75x = 593,986.15 × 115,442
  4. Step 4: Simplify right side
    395,924.75x = 68,570,949,128.30
  5. Step 5: Solve for x
    x = 68,570,949,128.30/395,924.75
  6. Step 6: Final answer
    x = 173,191.87

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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.