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Finding the Fourth Proportional to 640,103.22, 960,757.47 and 324,786.42

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Solution

The fourth proportional to 640,103.22, 960,757.47 and 324,786.42 is: 487,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,103.22 : 960,757.47 = 324,786.42 : x
  2. Step 2: Convert to fraction form
    640,103.22/960,757.47 = 324,786.42/x
  3. Step 3: Cross multiply
    640,103.22x = 960,757.47 × 324,786.42
  4. Step 4: Simplify right side
    640,103.22x = 312,040,979,169.56
  5. Step 5: Solve for x
    x = 312,040,979,169.56/640,103.22
  6. Step 6: Final answer
    x = 487,485.41

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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.