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Finding the Fourth Proportional to 259,474.31, 389,227.88 and 109,686.68

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Solution

The fourth proportional to 259,474.31, 389,227.88 and 109,686.68 is: 164,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,474.31 : 389,227.88 = 109,686.68 : x
  2. Step 2: Convert to fraction form
    259,474.31/389,227.88 = 109,686.68/x
  3. Step 3: Cross multiply
    259,474.31x = 389,227.88 × 109,686.68
  4. Step 4: Simplify right side
    259,474.31x = 42,693,113,920.64
  5. Step 5: Solve for x
    x = 42,693,113,920.64/259,474.31
  6. Step 6: Final answer
    x = 164,536.96

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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.