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Finding the Fourth Proportional to 258,976.64, 388,371 and 90,449.76

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Solution

The fourth proportional to 258,976.64, 388,371 and 90,449.76 is: 135,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,976.64 : 388,371 = 90,449.76 : x
  2. Step 2: Convert to fraction form
    258,976.64/388,371 = 90,449.76/x
  3. Step 3: Cross multiply
    258,976.64x = 388,371 × 90,449.76
  4. Step 4: Simplify right side
    258,976.64x = 35,128,063,740.96
  5. Step 5: Solve for x
    x = 35,128,063,740.96/258,976.64
  6. Step 6: Final answer
    x = 135,641.82

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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.