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Finding the Fourth Proportional to 331,542.40, 497,378.40 and 131,828.80

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Solution

The fourth proportional to 331,542.40, 497,378.40 and 131,828.80 is: 197,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,542.40 : 497,378.40 = 131,828.80 : x
  2. Step 2: Convert to fraction form
    331,542.40/497,378.40 = 131,828.80/x
  3. Step 3: Cross multiply
    331,542.40x = 497,378.40 × 131,828.80
  4. Step 4: Simplify right side
    331,542.40x = 65,568,797,617.92
  5. Step 5: Solve for x
    x = 65,568,797,617.92/331,542.40
  6. Step 6: Final answer
    x = 197,768.97

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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.