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Finding the Fourth Proportional to 310,212.92, 465,321.80 and 169,895

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Solution

The fourth proportional to 310,212.92, 465,321.80 and 169,895 is: 254,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,212.92 : 465,321.80 = 169,895 : x
  2. Step 2: Convert to fraction form
    310,212.92/465,321.80 = 169,895/x
  3. Step 3: Cross multiply
    310,212.92x = 465,321.80 × 169,895
  4. Step 4: Simplify right side
    310,212.92x = 79,055,847,211
  5. Step 5: Solve for x
    x = 79,055,847,211/310,212.92
  6. Step 6: Final answer
    x = 254,843.83

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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.