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Finding the Fourth Proportional to 299,249, 412,972.26 and 165,121.64

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Solution

The fourth proportional to 299,249, 412,972.26 and 165,121.64 is: 227,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,249 : 412,972.26 = 165,121.64 : x
  2. Step 2: Convert to fraction form
    299,249/412,972.26 = 165,121.64/x
  3. Step 3: Cross multiply
    299,249x = 412,972.26 × 165,121.64
  4. Step 4: Simplify right side
    299,249x = 68,190,656,845.71
  5. Step 5: Solve for x
    x = 68,190,656,845.71/299,249
  6. Step 6: Final answer
    x = 227,872.63

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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.