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Finding the Fourth Proportional to 259,825.40, 389,749.02 and 82,328.48

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Solution

The fourth proportional to 259,825.40, 389,749.02 and 82,328.48 is: 123,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,825.40 : 389,749.02 = 82,328.48 : x
  2. Step 2: Convert to fraction form
    259,825.40/389,749.02 = 82,328.48/x
  3. Step 3: Cross multiply
    259,825.40x = 389,749.02 × 82,328.48
  4. Step 4: Simplify right side
    259,825.40x = 32,087,444,398.09
  5. Step 5: Solve for x
    x = 32,087,444,398.09/259,825.40
  6. Step 6: Final answer
    x = 123,496.18

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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.