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Finding the Fourth Proportional to 299,248.75, 412,971.92 and 165,121.39

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Solution

The fourth proportional to 299,248.75, 412,971.92 and 165,121.39 is: 227,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,248.75 : 412,971.92 = 165,121.39 : x
  2. Step 2: Convert to fraction form
    299,248.75/412,971.92 = 165,121.39/x
  3. Step 3: Cross multiply
    299,248.75x = 412,971.92 × 165,121.39
  4. Step 4: Simplify right side
    299,248.75x = 68,190,497,461.37
  5. Step 5: Solve for x
    x = 68,190,497,461.37/299,248.75
  6. Step 6: Final answer
    x = 227,872.29

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1.5x scale

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.