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Finding the Fourth Proportional to 258,904.38, 388,449.72 and 90,449.49

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Solution

The fourth proportional to 258,904.38, 388,449.72 and 90,449.49 is: 135,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,904.38 : 388,449.72 = 90,449.49 : x
  2. Step 2: Convert to fraction form
    258,904.38/388,449.72 = 90,449.49/x
  3. Step 3: Cross multiply
    258,904.38x = 388,449.72 × 90,449.49
  4. Step 4: Simplify right side
    258,904.38x = 35,135,079,064.64
  5. Step 5: Solve for x
    x = 35,135,079,064.64/258,904.38
  6. Step 6: Final answer
    x = 135,706.78

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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.