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Finding the Fourth Proportional to 262,865.64, 394,411.44 and 85,427.04

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Solution

The fourth proportional to 262,865.64, 394,411.44 and 85,427.04 is: 128,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,865.64 : 394,411.44 = 85,427.04 : x
  2. Step 2: Convert to fraction form
    262,865.64/394,411.44 = 85,427.04/x
  3. Step 3: Cross multiply
    262,865.64x = 394,411.44 × 85,427.04
  4. Step 4: Simplify right side
    262,865.64x = 33,693,401,861.34
  5. Step 5: Solve for x
    x = 33,693,401,861.34/262,865.64
  6. Step 6: Final answer
    x = 128,177.28

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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.