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Finding the Fourth Proportional to 422,157.15, 582,575.90 and 231,168.87

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Solution

The fourth proportional to 422,157.15, 582,575.90 and 231,168.87 is: 319,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,157.15 : 582,575.90 = 231,168.87 : x
  2. Step 2: Convert to fraction form
    422,157.15/582,575.90 = 231,168.87/x
  3. Step 3: Cross multiply
    422,157.15x = 582,575.90 × 231,168.87
  4. Step 4: Simplify right side
    422,157.15x = 134,673,411,336.39
  5. Step 5: Solve for x
    x = 134,673,411,336.39/422,157.15
  6. Step 6: Final answer
    x = 319,012.51

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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.