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Finding the Fourth Proportional to 300,115.86, 414,142.92 and 164,122.80

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Solution

The fourth proportional to 300,115.86, 414,142.92 and 164,122.80 is: 226,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,115.86 : 414,142.92 = 164,122.80 : x
  2. Step 2: Convert to fraction form
    300,115.86/414,142.92 = 164,122.80/x
  3. Step 3: Cross multiply
    300,115.86x = 414,142.92 × 164,122.80
  4. Step 4: Simplify right side
    300,115.86x = 67,970,295,630.58
  5. Step 5: Solve for x
    x = 67,970,295,630.58/300,115.86
  6. Step 6: Final answer
    x = 226,480.19

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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.