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Finding the Fourth Proportional to 422,046.37, 582,361.14 and 256,388.41

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Solution

The fourth proportional to 422,046.37, 582,361.14 and 256,388.41 is: 353,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,046.37 : 582,361.14 = 256,388.41 : x
  2. Step 2: Convert to fraction form
    422,046.37/582,361.14 = 256,388.41/x
  3. Step 3: Cross multiply
    422,046.37x = 582,361.14 × 256,388.41
  4. Step 4: Simplify right side
    422,046.37x = 149,310,646,730.39
  5. Step 5: Solve for x
    x = 149,310,646,730.39/422,046.37
  6. Step 6: Final answer
    x = 353,777.82

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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.