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Finding the Fourth Proportional to 322,137.28, 483,205.47 and 135,148.78

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Solution

The fourth proportional to 322,137.28, 483,205.47 and 135,148.78 is: 202,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,137.28 : 483,205.47 = 135,148.78 : x
  2. Step 2: Convert to fraction form
    322,137.28/483,205.47 = 135,148.78/x
  3. Step 3: Cross multiply
    322,137.28x = 483,205.47 × 135,148.78
  4. Step 4: Simplify right side
    322,137.28x = 65,304,629,759.83
  5. Step 5: Solve for x
    x = 65,304,629,759.83/322,137.28
  6. Step 6: Final answer
    x = 202,722.98

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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.