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Finding the Fourth Proportional to 427,843.85, 590,422.48 and 231,609.80

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Solution

The fourth proportional to 427,843.85, 590,422.48 and 231,609.80 is: 319,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,843.85 : 590,422.48 = 231,609.80 : x
  2. Step 2: Convert to fraction form
    427,843.85/590,422.48 = 231,609.80/x
  3. Step 3: Cross multiply
    427,843.85x = 590,422.48 × 231,609.80
  4. Step 4: Simplify right side
    427,843.85x = 136,747,633,405.34
  5. Step 5: Solve for x
    x = 136,747,633,405.34/427,843.85
  6. Step 6: Final answer
    x = 319,620.43

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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.