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Finding the Fourth Proportional to 299,040.22, 412,668 and 163,076.78

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Solution

The fourth proportional to 299,040.22, 412,668 and 163,076.78 is: 225,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,040.22 : 412,668 = 163,076.78 : x
  2. Step 2: Convert to fraction form
    299,040.22/412,668 = 163,076.78/x
  3. Step 3: Cross multiply
    299,040.22x = 412,668 × 163,076.78
  4. Step 4: Simplify right side
    299,040.22x = 67,296,568,649.04
  5. Step 5: Solve for x
    x = 67,296,568,649.04/299,040.22
  6. Step 6: Final answer
    x = 225,041.86

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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.