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Finding the Fourth Proportional to 422,129.68, 582,539.90 and 228,539.43

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Solution

The fourth proportional to 422,129.68, 582,539.90 and 228,539.43 is: 315,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,129.68 : 582,539.90 = 228,539.43 : x
  2. Step 2: Convert to fraction form
    422,129.68/582,539.90 = 228,539.43/x
  3. Step 3: Cross multiply
    422,129.68x = 582,539.90 × 228,539.43
  4. Step 4: Simplify right side
    422,129.68x = 133,133,335,555.56
  5. Step 5: Solve for x
    x = 133,133,335,555.56/422,129.68
  6. Step 6: Final answer
    x = 315,384.92

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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.