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Finding the Fourth Proportional to 259,762.30, 389,640.75 and 82,269.29

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Solution

The fourth proportional to 259,762.30, 389,640.75 and 82,269.29 is: 123,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,762.30 : 389,640.75 = 82,269.29 : x
  2. Step 2: Convert to fraction form
    259,762.30/389,640.75 = 82,269.29/x
  3. Step 3: Cross multiply
    259,762.30x = 389,640.75 × 82,269.29
  4. Step 4: Simplify right side
    259,762.30x = 32,055,467,857.57
  5. Step 5: Solve for x
    x = 32,055,467,857.57/259,762.30
  6. Step 6: Final answer
    x = 123,403.08

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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.