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Finding the Fourth Proportional to 259,888.70, 389,846.86 and 82,409.70

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Solution

The fourth proportional to 259,888.70, 389,846.86 and 82,409.70 is: 123,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,888.70 : 389,846.86 = 82,409.70 : x
  2. Step 2: Convert to fraction form
    259,888.70/389,846.86 = 82,409.70/x
  3. Step 3: Cross multiply
    259,888.70x = 389,846.86 × 82,409.70
  4. Step 4: Simplify right side
    259,888.70x = 32,127,162,778.54
  5. Step 5: Solve for x
    x = 32,127,162,778.54/259,888.70
  6. Step 6: Final answer
    x = 123,618.93

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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.