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Finding the Fourth Proportional to 263,684.70, 363,885 and 142,825.62

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Solution

The fourth proportional to 263,684.70, 363,885 and 142,825.62 is: 197,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,684.70 : 363,885 = 142,825.62 : x
  2. Step 2: Convert to fraction form
    263,684.70/363,885 = 142,825.62/x
  3. Step 3: Cross multiply
    263,684.70x = 363,885 × 142,825.62
  4. Step 4: Simplify right side
    263,684.70x = 51,972,100,733.70
  5. Step 5: Solve for x
    x = 51,972,100,733.70/263,684.70
  6. Step 6: Final answer
    x = 197,099.42

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1.5x scale

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.