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Finding the Fourth Proportional to 235,275, 324,679.50 and 129,291

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Solution

The fourth proportional to 235,275, 324,679.50 and 129,291 is: 178,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,275 : 324,679.50 = 129,291 : x
  2. Step 2: Convert to fraction form
    235,275/324,679.50 = 129,291/x
  3. Step 3: Cross multiply
    235,275x = 324,679.50 × 129,291
  4. Step 4: Simplify right side
    235,275x = 41,978,137,234.50
  5. Step 5: Solve for x
    x = 41,978,137,234.50/235,275
  6. Step 6: Final answer
    x = 178,421.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.