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Finding the Fourth Proportional to 259,760.44, 389,553.18 and 209,721.88

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Solution

The fourth proportional to 259,760.44, 389,553.18 and 209,721.88 is: 314,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,760.44 : 389,553.18 = 209,721.88 : x
  2. Step 2: Convert to fraction form
    259,760.44/389,553.18 = 209,721.88/x
  3. Step 3: Cross multiply
    259,760.44x = 389,553.18 × 209,721.88
  4. Step 4: Simplify right side
    259,760.44x = 81,697,825,269.58
  5. Step 5: Solve for x
    x = 81,697,825,269.58/259,760.44
  6. Step 6: Final answer
    x = 314,512.19

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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.