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Finding the Fourth Proportional to 263,156.37, 363,157.82 and 145,286.97

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Solution

The fourth proportional to 263,156.37, 363,157.82 and 145,286.97 is: 200,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,156.37 : 363,157.82 = 145,286.97 : x
  2. Step 2: Convert to fraction form
    263,156.37/363,157.82 = 145,286.97/x
  3. Step 3: Cross multiply
    263,156.37x = 363,157.82 × 145,286.97
  4. Step 4: Simplify right side
    263,156.37x = 52,762,099,299.61
  5. Step 5: Solve for x
    x = 52,762,099,299.61/263,156.37
  6. Step 6: Final answer
    x = 200,497.14

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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.