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Finding the Fourth Proportional to 395,438.40, 593,251.38 and 129,198.42

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Solution

The fourth proportional to 395,438.40, 593,251.38 and 129,198.42 is: 193,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,438.40 : 593,251.38 = 129,198.42 : x
  2. Step 2: Convert to fraction form
    395,438.40/593,251.38 = 129,198.42/x
  3. Step 3: Cross multiply
    395,438.40x = 593,251.38 × 129,198.42
  4. Step 4: Simplify right side
    395,438.40x = 76,647,140,958.82
  5. Step 5: Solve for x
    x = 76,647,140,958.82/395,438.40
  6. Step 6: Final answer
    x = 193,828.27

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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.