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Finding the Fourth Proportional to 274,437.20, 410,999.70 and 221,949.20

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Solution

The fourth proportional to 274,437.20, 410,999.70 and 221,949.20 is: 332,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,437.20 : 410,999.70 = 221,949.20 : x
  2. Step 2: Convert to fraction form
    274,437.20/410,999.70 = 221,949.20/x
  3. Step 3: Cross multiply
    274,437.20x = 410,999.70 × 221,949.20
  4. Step 4: Simplify right side
    274,437.20x = 91,221,054,615.24
  5. Step 5: Solve for x
    x = 91,221,054,615.24/274,437.20
  6. Step 6: Final answer
    x = 332,393.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.