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Finding the Fourth Proportional to 312,467.22, 431,202.60 and 169,223.94

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Solution

The fourth proportional to 312,467.22, 431,202.60 and 169,223.94 is: 233,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,467.22 : 431,202.60 = 169,223.94 : x
  2. Step 2: Convert to fraction form
    312,467.22/431,202.60 = 169,223.94/x
  3. Step 3: Cross multiply
    312,467.22x = 431,202.60 × 169,223.94
  4. Step 4: Simplify right side
    312,467.22x = 72,969,802,910.24
  5. Step 5: Solve for x
    x = 72,969,802,910.24/312,467.22
  6. Step 6: Final answer
    x = 233,527.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.