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Finding the Fourth Proportional to 489,089.80, 674,976.18 and 274,243.60

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Solution

The fourth proportional to 489,089.80, 674,976.18 and 274,243.60 is: 378,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,089.80 : 674,976.18 = 274,243.60 : x
  2. Step 2: Convert to fraction form
    489,089.80/674,976.18 = 274,243.60/x
  3. Step 3: Cross multiply
    489,089.80x = 674,976.18 × 274,243.60
  4. Step 4: Simplify right side
    489,089.80x = 185,107,897,517.45
  5. Step 5: Solve for x
    x = 185,107,897,517.45/489,089.80
  6. Step 6: Final answer
    x = 378,474.25

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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.