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Finding the Fourth Proportional to 300,256, 414,358.56 and 164,301.84

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Solution

The fourth proportional to 300,256, 414,358.56 and 164,301.84 is: 226,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,256 : 414,358.56 = 164,301.84 : x
  2. Step 2: Convert to fraction form
    300,256/414,358.56 = 164,301.84/x
  3. Step 3: Cross multiply
    300,256x = 414,358.56 × 164,301.84
  4. Step 4: Simplify right side
    300,256x = 68,079,873,827.75
  5. Step 5: Solve for x
    x = 68,079,873,827.75/300,256
  6. Step 6: Final answer
    x = 226,739.43

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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.