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Finding the Fourth Proportional to 262,865.63, 394,411.44 and 85,427.03

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Solution

The fourth proportional to 262,865.63, 394,411.44 and 85,427.03 is: 128,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,865.63 : 394,411.44 = 85,427.03 : x
  2. Step 2: Convert to fraction form
    262,865.63/394,411.44 = 85,427.03/x
  3. Step 3: Cross multiply
    262,865.63x = 394,411.44 × 85,427.03
  4. Step 4: Simplify right side
    262,865.63x = 33,693,397,917.22
  5. Step 5: Solve for x
    x = 33,693,397,917.22/262,865.63
  6. Step 6: Final answer
    x = 128,177.27

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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.