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Finding the Fourth Proportional to 422,007.18, 582,318.27 and 336,184.78

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Solution

The fourth proportional to 422,007.18, 582,318.27 and 336,184.78 is: 463,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,007.18 : 582,318.27 = 336,184.78 : x
  2. Step 2: Convert to fraction form
    422,007.18/582,318.27 = 336,184.78/x
  3. Step 3: Cross multiply
    422,007.18x = 582,318.27 × 336,184.78
  4. Step 4: Simplify right side
    422,007.18x = 195,766,539,489.93
  5. Step 5: Solve for x
    x = 195,766,539,489.93/422,007.18
  6. Step 6: Final answer
    x = 463,893.86

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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.