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Finding the Fourth Proportional to 300,112.86, 414,138.78 and 164,119.80

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Solution

The fourth proportional to 300,112.86, 414,138.78 and 164,119.80 is: 226,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,112.86 : 414,138.78 = 164,119.80 : x
  2. Step 2: Convert to fraction form
    300,112.86/414,138.78 = 164,119.80/x
  3. Step 3: Cross multiply
    300,112.86x = 414,138.78 × 164,119.80
  4. Step 4: Simplify right side
    300,112.86x = 67,968,373,745.84
  5. Step 5: Solve for x
    x = 67,968,373,745.84/300,112.86
  6. Step 6: Final answer
    x = 226,476.05

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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.