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Finding the Fourth Proportional to 422,599.68, 582,145.92 and 361,972.80

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Solution

The fourth proportional to 422,599.68, 582,145.92 and 361,972.80 is: 498,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,599.68 : 582,145.92 = 361,972.80 : x
  2. Step 2: Convert to fraction form
    422,599.68/582,145.92 = 361,972.80/x
  3. Step 3: Cross multiply
    422,599.68x = 582,145.92 × 361,972.80
  4. Step 4: Simplify right side
    422,599.68x = 210,720,988,670.98
  5. Step 5: Solve for x
    x = 210,720,988,670.98/422,599.68
  6. Step 6: Final answer
    x = 498,630.26

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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.