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Finding the Fourth Proportional to 422,113.47, 582,516.73 and 231,138.96

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Solution

The fourth proportional to 422,113.47, 582,516.73 and 231,138.96 is: 318,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,113.47 : 582,516.73 = 231,138.96 : x
  2. Step 2: Convert to fraction form
    422,113.47/582,516.73 = 231,138.96/x
  3. Step 3: Cross multiply
    422,113.47x = 582,516.73 × 231,138.96
  4. Step 4: Simplify right side
    422,113.47x = 134,642,308,242.22
  5. Step 5: Solve for x
    x = 134,642,308,242.22/422,113.47
  6. Step 6: Final answer
    x = 318,971.84

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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.