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Finding the Fourth Proportional to 422,335.87, 582,823.61 and 231,356.05

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Solution

The fourth proportional to 422,335.87, 582,823.61 and 231,356.05 is: 319,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,335.87 : 582,823.61 = 231,356.05 : x
  2. Step 2: Convert to fraction form
    422,335.87/582,823.61 = 231,356.05/x
  3. Step 3: Cross multiply
    422,335.87x = 582,823.61 × 231,356.05
  4. Step 4: Simplify right side
    422,335.87x = 134,839,767,099.56
  5. Step 5: Solve for x
    x = 134,839,767,099.56/422,335.87
  6. Step 6: Final answer
    x = 319,271.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.