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Finding the Fourth Proportional to 259,796.70, 389,707.20 and 82,317.60

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Solution

The fourth proportional to 259,796.70, 389,707.20 and 82,317.60 is: 123,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,796.70 : 389,707.20 = 82,317.60 : x
  2. Step 2: Convert to fraction form
    259,796.70/389,707.20 = 82,317.60/x
  3. Step 3: Cross multiply
    259,796.70x = 389,707.20 × 82,317.60
  4. Step 4: Simplify right side
    259,796.70x = 32,079,761,406.72
  5. Step 5: Solve for x
    x = 32,079,761,406.72/259,796.70
  6. Step 6: Final answer
    x = 123,480.25

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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.