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Finding the Fourth Proportional to 259,334.97, 388,908.84 and 109,586.82

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Solution

The fourth proportional to 259,334.97, 388,908.84 and 109,586.82 is: 164,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,334.97 : 388,908.84 = 109,586.82 : x
  2. Step 2: Convert to fraction form
    259,334.97/388,908.84 = 109,586.82/x
  3. Step 3: Cross multiply
    259,334.97x = 388,908.84 × 109,586.82
  4. Step 4: Simplify right side
    259,334.97x = 42,619,284,914.85
  5. Step 5: Solve for x
    x = 42,619,284,914.85/259,334.97
  6. Step 6: Final answer
    x = 164,340.68

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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.