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Finding the Fourth Proportional to 259,810.50, 389,727.09 and 82,330.59

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Solution

The fourth proportional to 259,810.50, 389,727.09 and 82,330.59 is: 123,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,810.50 : 389,727.09 = 82,330.59 : x
  2. Step 2: Convert to fraction form
    259,810.50/389,727.09 = 82,330.59/x
  3. Step 3: Cross multiply
    259,810.50x = 389,727.09 × 82,330.59
  4. Step 4: Simplify right side
    259,810.50x = 32,086,461,258.68
  5. Step 5: Solve for x
    x = 32,086,461,258.68/259,810.50
  6. Step 6: Final answer
    x = 123,499.48

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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.