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Finding the Fourth Proportional to 299,240, 412,951.21 and 165,104

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Solution

The fourth proportional to 299,240, 412,951.21 and 165,104 is: 227,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,240 : 412,951.21 = 165,104 : x
  2. Step 2: Convert to fraction form
    299,240/412,951.21 = 165,104/x
  3. Step 3: Cross multiply
    299,240x = 412,951.21 × 165,104
  4. Step 4: Simplify right side
    299,240x = 68,179,896,575.84
  5. Step 5: Solve for x
    x = 68,179,896,575.84/299,240
  6. Step 6: Final answer
    x = 227,843.53

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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.