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Finding the Fourth Proportional to 259,287, 388,942.81 and 126,008.48

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Solution

The fourth proportional to 259,287, 388,942.81 and 126,008.48 is: 189,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,287 : 388,942.81 = 126,008.48 : x
  2. Step 2: Convert to fraction form
    259,287/388,942.81 = 126,008.48/x
  3. Step 3: Cross multiply
    259,287x = 388,942.81 × 126,008.48
  4. Step 4: Simplify right side
    259,287x = 49,010,092,295.03
  5. Step 5: Solve for x
    x = 49,010,092,295.03/259,287
  6. Step 6: Final answer
    x = 189,018.70

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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.