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Finding the Fourth Proportional to 259,857.74, 389,800.37 and 82,378.60

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Solution

The fourth proportional to 259,857.74, 389,800.37 and 82,378.60 is: 123,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,857.74 : 389,800.37 = 82,378.60 : x
  2. Step 2: Convert to fraction form
    259,857.74/389,800.37 = 82,378.60/x
  3. Step 3: Cross multiply
    259,857.74x = 389,800.37 × 82,378.60
  4. Step 4: Simplify right side
    259,857.74x = 32,111,207,991.53
  5. Step 5: Solve for x
    x = 32,111,207,991.53/259,857.74
  6. Step 6: Final answer
    x = 123,572.26

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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.