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Finding the Fourth Proportional to 422,399.49, 582,907.80 and 228,802.78

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Solution

The fourth proportional to 422,399.49, 582,907.80 and 228,802.78 is: 315,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,399.49 : 582,907.80 = 228,802.78 : x
  2. Step 2: Convert to fraction form
    422,399.49/582,907.80 = 228,802.78/x
  3. Step 3: Cross multiply
    422,399.49x = 582,907.80 × 228,802.78
  4. Step 4: Simplify right side
    422,399.49x = 133,370,925,123.68
  5. Step 5: Solve for x
    x = 133,370,925,123.68/422,399.49
  6. Step 6: Final answer
    x = 315,745.94

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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.