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Finding the Fourth Proportional to 422,414, 582,787.80 and 240,995.60

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Solution

The fourth proportional to 422,414, 582,787.80 and 240,995.60 is: 332,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,414 : 582,787.80 = 240,995.60 : x
  2. Step 2: Convert to fraction form
    422,414/582,787.80 = 240,995.60/x
  3. Step 3: Cross multiply
    422,414x = 582,787.80 × 240,995.60
  4. Step 4: Simplify right side
    422,414x = 140,449,295,533.68
  5. Step 5: Solve for x
    x = 140,449,295,533.68/422,414
  6. Step 6: Final answer
    x = 332,492.05

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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.