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Finding the Fourth Proportional to 422,359.38, 582,851.31 and 228,762.29

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Solution

The fourth proportional to 422,359.38, 582,851.31 and 228,762.29 is: 315,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,359.38 : 582,851.31 = 228,762.29 : x
  2. Step 2: Convert to fraction form
    422,359.38/582,851.31 = 228,762.29/x
  3. Step 3: Cross multiply
    422,359.38x = 582,851.31 × 228,762.29
  4. Step 4: Simplify right side
    422,359.38x = 133,334,397,490.84
  5. Step 5: Solve for x
    x = 133,334,397,490.84/422,359.38
  6. Step 6: Final answer
    x = 315,689.44

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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.