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Finding the Fourth Proportional to 312,467.92, 431,205.36 and 169,227.88

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Solution

The fourth proportional to 312,467.92, 431,205.36 and 169,227.88 is: 233,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,467.92 : 431,205.36 = 169,227.88 : x
  2. Step 2: Convert to fraction form
    312,467.92/431,205.36 = 169,227.88/x
  3. Step 3: Cross multiply
    312,467.92x = 431,205.36 × 169,227.88
  4. Step 4: Simplify right side
    312,467.92x = 72,971,968,917.44
  5. Step 5: Solve for x
    x = 72,971,968,917.44/312,467.92
  6. Step 6: Final answer
    x = 233,534.27

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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.