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Finding the Fourth Proportional to 422,004.18, 582,314.13 and 336,181.78

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Solution

The fourth proportional to 422,004.18, 582,314.13 and 336,181.78 is: 463,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,004.18 : 582,314.13 = 336,181.78 : x
  2. Step 2: Convert to fraction form
    422,004.18/582,314.13 = 336,181.78/x
  3. Step 3: Cross multiply
    422,004.18x = 582,314.13 × 336,181.78
  4. Step 4: Simplify right side
    422,004.18x = 195,763,400,742.55
  5. Step 5: Solve for x
    x = 195,763,400,742.55/422,004.18
  6. Step 6: Final answer
    x = 463,889.72

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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.