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Finding the Fourth Proportional to 259,856.94, 389,471.49 and 126,537.42

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Solution

The fourth proportional to 259,856.94, 389,471.49 and 126,537.42 is: 189,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,856.94 : 389,471.49 = 126,537.42 : x
  2. Step 2: Convert to fraction form
    259,856.94/389,471.49 = 126,537.42/x
  3. Step 3: Cross multiply
    259,856.94x = 389,471.49 × 126,537.42
  4. Step 4: Simplify right side
    259,856.94x = 49,282,717,508.16
  5. Step 5: Solve for x
    x = 49,282,717,508.16/259,856.94
  6. Step 6: Final answer
    x = 189,653.27

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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.