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Finding the Fourth Proportional to 259,809.70, 389,726.70 and 82,330.60

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Solution

The fourth proportional to 259,809.70, 389,726.70 and 82,330.60 is: 123,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,809.70 : 389,726.70 = 82,330.60 : x
  2. Step 2: Convert to fraction form
    259,809.70/389,726.70 = 82,330.60/x
  3. Step 3: Cross multiply
    259,809.70x = 389,726.70 × 82,330.60
  4. Step 4: Simplify right side
    259,809.70x = 32,086,433,047.02
  5. Step 5: Solve for x
    x = 32,086,433,047.02/259,809.70
  6. Step 6: Final answer
    x = 123,499.75

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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.