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Finding the Fourth Proportional to 258,965.28, 388,486.16 and 132,676.96

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Solution

The fourth proportional to 258,965.28, 388,486.16 and 132,676.96 is: 199,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,965.28 : 388,486.16 = 132,676.96 : x
  2. Step 2: Convert to fraction form
    258,965.28/388,486.16 = 132,676.96/x
  3. Step 3: Cross multiply
    258,965.28x = 388,486.16 × 132,676.96
  4. Step 4: Simplify right side
    258,965.28x = 51,543,162,710.87
  5. Step 5: Solve for x
    x = 51,543,162,710.87/258,965.28
  6. Step 6: Final answer
    x = 199,035.03

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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.