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Finding the Fourth Proportional to 324,871.20, 486,658.80 and 285,904.80

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Solution

The fourth proportional to 324,871.20, 486,658.80 and 285,904.80 is: 428,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,871.20 : 486,658.80 = 285,904.80 : x
  2. Step 2: Convert to fraction form
    324,871.20/486,658.80 = 285,904.80/x
  3. Step 3: Cross multiply
    324,871.20x = 486,658.80 × 285,904.80
  4. Step 4: Simplify right side
    324,871.20x = 139,138,086,882.24
  5. Step 5: Solve for x
    x = 139,138,086,882.24/324,871.20
  6. Step 6: Final answer
    x = 428,286.92

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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.