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Finding the Fourth Proportional to 422,368.49, 582,863.85 and 228,771.41

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Solution

The fourth proportional to 422,368.49, 582,863.85 and 228,771.41 is: 315,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,368.49 : 582,863.85 = 228,771.41 : x
  2. Step 2: Convert to fraction form
    422,368.49/582,863.85 = 228,771.41/x
  3. Step 3: Cross multiply
    422,368.49x = 582,863.85 × 228,771.41
  4. Step 4: Simplify right side
    422,368.49x = 133,342,581,888.21
  5. Step 5: Solve for x
    x = 133,342,581,888.21/422,368.49
  6. Step 6: Final answer
    x = 315,702.01

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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.