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Finding the Fourth Proportional to 265,238.55, 397,814.09 and 85,314.97

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Solution

The fourth proportional to 265,238.55, 397,814.09 and 85,314.97 is: 127,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,238.55 : 397,814.09 = 85,314.97 : x
  2. Step 2: Convert to fraction form
    265,238.55/397,814.09 = 85,314.97/x
  3. Step 3: Cross multiply
    265,238.55x = 397,814.09 × 85,314.97
  4. Step 4: Simplify right side
    265,238.55x = 33,939,497,224.62
  5. Step 5: Solve for x
    x = 33,939,497,224.62/265,238.55
  6. Step 6: Final answer
    x = 127,958.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.