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Finding the Fourth Proportional to 263,185.32, 394,684.74 and 85,659.24

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Solution

The fourth proportional to 263,185.32, 394,684.74 and 85,659.24 is: 128,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,185.32 : 394,684.74 = 85,659.24 : x
  2. Step 2: Convert to fraction form
    263,185.32/394,684.74 = 85,659.24/x
  3. Step 3: Cross multiply
    263,185.32x = 394,684.74 × 85,659.24
  4. Step 4: Simplify right side
    263,185.32x = 33,808,394,868.00
  5. Step 5: Solve for x
    x = 33,808,394,868.00/263,185.32
  6. Step 6: Final answer
    x = 128,458.51

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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.