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Finding the Fourth Proportional to 422,413.44, 582,931 and 228,821.60

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Solution

The fourth proportional to 422,413.44, 582,931 and 228,821.60 is: 315,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,413.44 : 582,931 = 228,821.60 : x
  2. Step 2: Convert to fraction form
    422,413.44/582,931 = 228,821.60/x
  3. Step 3: Cross multiply
    422,413.44x = 582,931 × 228,821.60
  4. Step 4: Simplify right side
    422,413.44x = 133,387,204,109.60
  5. Step 5: Solve for x
    x = 133,387,204,109.60/422,413.44
  6. Step 6: Final answer
    x = 315,774.05

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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.