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Finding the Fourth Proportional to 259,908.49, 389,911.34 and 82,367.83

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Solution

The fourth proportional to 259,908.49, 389,911.34 and 82,367.83 is: 123,567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,908.49 : 389,911.34 = 82,367.83 : x
  2. Step 2: Convert to fraction form
    259,908.49/389,911.34 = 82,367.83/x
  3. Step 3: Cross multiply
    259,908.49x = 389,911.34 × 82,367.83
  4. Step 4: Simplify right side
    259,908.49x = 32,116,151,198.18
  5. Step 5: Solve for x
    x = 32,116,151,198.18/259,908.49
  6. Step 6: Final answer
    x = 123,567.15

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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.