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Finding the Fourth Proportional to 259,383.40, 388,859.10 and 109,738.60

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Solution

The fourth proportional to 259,383.40, 388,859.10 and 109,738.60 is: 164,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,383.40 : 388,859.10 = 109,738.60 : x
  2. Step 2: Convert to fraction form
    259,383.40/388,859.10 = 109,738.60/x
  3. Step 3: Cross multiply
    259,383.40x = 388,859.10 × 109,738.60
  4. Step 4: Simplify right side
    259,383.40x = 42,672,853,231.26
  5. Step 5: Solve for x
    x = 42,672,853,231.26/259,383.40
  6. Step 6: Final answer
    x = 164,516.52

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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.