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Finding the Fourth Proportional to 422,276.84, 582,753.40 and 238,500.68

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Solution

The fourth proportional to 422,276.84, 582,753.40 and 238,500.68 is: 329,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,276.84 : 582,753.40 = 238,500.68 : x
  2. Step 2: Convert to fraction form
    422,276.84/582,753.40 = 238,500.68/x
  3. Step 3: Cross multiply
    422,276.84x = 582,753.40 × 238,500.68
  4. Step 4: Simplify right side
    422,276.84x = 138,987,082,172.31
  5. Step 5: Solve for x
    x = 138,987,082,172.31/422,276.84
  6. Step 6: Final answer
    x = 329,137.35

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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.