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Finding the Fourth Proportional to 300,135.33, 414,171.30 and 164,142.81

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Solution

The fourth proportional to 300,135.33, 414,171.30 and 164,142.81 is: 226,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,135.33 : 414,171.30 = 164,142.81 : x
  2. Step 2: Convert to fraction form
    300,135.33/414,171.30 = 164,142.81/x
  3. Step 3: Cross multiply
    300,135.33x = 414,171.30 × 164,142.81
  4. Step 4: Simplify right side
    300,135.33x = 67,983,241,003.35
  5. Step 5: Solve for x
    x = 67,983,241,003.35/300,135.33
  6. Step 6: Final answer
    x = 226,508.63

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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.