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Finding the Fourth Proportional to 259,659.72, 389,485.53 and 133,227

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Solution

The fourth proportional to 259,659.72, 389,485.53 and 133,227 is: 199,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,659.72 : 389,485.53 = 133,227 : x
  2. Step 2: Convert to fraction form
    259,659.72/389,485.53 = 133,227/x
  3. Step 3: Cross multiply
    259,659.72x = 389,485.53 × 133,227
  4. Step 4: Simplify right side
    259,659.72x = 51,889,988,705.31
  5. Step 5: Solve for x
    x = 51,889,988,705.31/259,659.72
  6. Step 6: Final answer
    x = 199,838.42

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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.