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Finding the Fourth Proportional to 259,859.49, 389,803 and 82,380.35

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Solution

The fourth proportional to 259,859.49, 389,803 and 82,380.35 is: 123,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,859.49 : 389,803 = 82,380.35 : x
  2. Step 2: Convert to fraction form
    259,859.49/389,803 = 82,380.35/x
  3. Step 3: Cross multiply
    259,859.49x = 389,803 × 82,380.35
  4. Step 4: Simplify right side
    259,859.49x = 32,112,107,571.05
  5. Step 5: Solve for x
    x = 32,112,107,571.05/259,859.49
  6. Step 6: Final answer
    x = 123,574.89

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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.