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Finding the Fourth Proportional to 422,400.85, 582,908.29 and 228,804.85

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Solution

The fourth proportional to 422,400.85, 582,908.29 and 228,804.85 is: 315,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,400.85 : 582,908.29 = 228,804.85 : x
  2. Step 2: Convert to fraction form
    422,400.85/582,908.29 = 228,804.85/x
  3. Step 3: Cross multiply
    422,400.85x = 582,908.29 × 228,804.85
  4. Step 4: Simplify right side
    422,400.85x = 133,372,243,857.21
  5. Step 5: Solve for x
    x = 133,372,243,857.21/422,400.85
  6. Step 6: Final answer
    x = 315,748.05

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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.