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Finding the Fourth Proportional to 311,971.26, 468,015.21 and 124,997.34

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Solution

The fourth proportional to 311,971.26, 468,015.21 and 124,997.34 is: 187,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,971.26 : 468,015.21 = 124,997.34 : x
  2. Step 2: Convert to fraction form
    311,971.26/468,015.21 = 124,997.34/x
  3. Step 3: Cross multiply
    311,971.26x = 468,015.21 × 124,997.34
  4. Step 4: Simplify right side
    311,971.26x = 58,500,656,329.54
  5. Step 5: Solve for x
    x = 58,500,656,329.54/311,971.26
  6. Step 6: Final answer
    x = 187,519.38

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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.