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Finding the Fourth Proportional to 489,879.20, 675,986.64 and 274,970

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Solution

The fourth proportional to 489,879.20, 675,986.64 and 274,970 is: 379,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,879.20 : 675,986.64 = 274,970 : x
  2. Step 2: Convert to fraction form
    489,879.20/675,986.64 = 274,970/x
  3. Step 3: Cross multiply
    489,879.20x = 675,986.64 × 274,970
  4. Step 4: Simplify right side
    489,879.20x = 185,876,046,400.80
  5. Step 5: Solve for x
    x = 185,876,046,400.80/489,879.20
  6. Step 6: Final answer
    x = 379,432.41

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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.