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Finding the Fourth Proportional to 322,020.22, 483,043.32 and 82,140.34

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Solution

The fourth proportional to 322,020.22, 483,043.32 and 82,140.34 is: 123,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,020.22 : 483,043.32 = 82,140.34 : x
  2. Step 2: Convert to fraction form
    322,020.22/483,043.32 = 82,140.34/x
  3. Step 3: Cross multiply
    322,020.22x = 483,043.32 × 82,140.34
  4. Step 4: Simplify right side
    322,020.22x = 39,677,342,539.53
  5. Step 5: Solve for x
    x = 39,677,342,539.53/322,020.22
  6. Step 6: Final answer
    x = 123,213.82

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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.