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Finding the Fourth Proportional to 489,766, 675,840 and 274,864.57

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Solution

The fourth proportional to 489,766, 675,840 and 274,864.57 is: 379,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,766 : 675,840 = 274,864.57 : x
  2. Step 2: Convert to fraction form
    489,766/675,840 = 274,864.57/x
  3. Step 3: Cross multiply
    489,766x = 675,840 × 274,864.57
  4. Step 4: Simplify right side
    489,766x = 185,764,470,988.80
  5. Step 5: Solve for x
    x = 185,764,470,988.80/489,766
  6. Step 6: Final answer
    x = 379,292.30

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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.