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Finding the Fourth Proportional to 259,660.72, 389,487.03 and 133,228

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Solution

The fourth proportional to 259,660.72, 389,487.03 and 133,228 is: 199,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,660.72 : 389,487.03 = 133,228 : x
  2. Step 2: Convert to fraction form
    259,660.72/389,487.03 = 133,228/x
  3. Step 3: Cross multiply
    259,660.72x = 389,487.03 × 133,228
  4. Step 4: Simplify right side
    259,660.72x = 51,890,578,032.84
  5. Step 5: Solve for x
    x = 51,890,578,032.84/259,660.72
  6. Step 6: Final answer
    x = 199,839.92

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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.