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Finding the Fourth Proportional to 259,335.97, 388,910.34 and 109,587.82

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Solution

The fourth proportional to 259,335.97, 388,910.34 and 109,587.82 is: 164,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,335.97 : 388,910.34 = 109,587.82 : x
  2. Step 2: Convert to fraction form
    259,335.97/388,910.34 = 109,587.82/x
  3. Step 3: Cross multiply
    259,335.97x = 388,910.34 × 109,587.82
  4. Step 4: Simplify right side
    259,335.97x = 42,619,836,336.06
  5. Step 5: Solve for x
    x = 42,619,836,336.06/259,335.97
  6. Step 6: Final answer
    x = 164,342.17

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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.