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Finding the Fourth Proportional to 259,393.56, 388,996.60 and 109,645.44

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Solution

The fourth proportional to 259,393.56, 388,996.60 and 109,645.44 is: 164,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,393.56 : 388,996.60 = 109,645.44 : x
  2. Step 2: Convert to fraction form
    259,393.56/388,996.60 = 109,645.44/x
  3. Step 3: Cross multiply
    259,393.56x = 388,996.60 × 109,645.44
  4. Step 4: Simplify right side
    259,393.56x = 42,651,703,365.50
  5. Step 5: Solve for x
    x = 42,651,703,365.50/259,393.56
  6. Step 6: Final answer
    x = 164,428.54

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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.