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Finding the Fourth Proportional to 259,680.80, 389,569.28 and 82,232.48

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Solution

The fourth proportional to 259,680.80, 389,569.28 and 82,232.48 is: 123,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,680.80 : 389,569.28 = 82,232.48 : x
  2. Step 2: Convert to fraction form
    259,680.80/389,569.28 = 82,232.48/x
  3. Step 3: Cross multiply
    259,680.80x = 389,569.28 × 82,232.48
  4. Step 4: Simplify right side
    259,680.80x = 32,035,248,026.21
  5. Step 5: Solve for x
    x = 32,035,248,026.21/259,680.80
  6. Step 6: Final answer
    x = 123,363.95

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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.