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Finding the Fourth Proportional to 281,713.20, 421,792.20 and 219,505.20

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Solution

The fourth proportional to 281,713.20, 421,792.20 and 219,505.20 is: 328,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,713.20 : 421,792.20 = 219,505.20 : x
  2. Step 2: Convert to fraction form
    281,713.20/421,792.20 = 219,505.20/x
  3. Step 3: Cross multiply
    281,713.20x = 421,792.20 × 219,505.20
  4. Step 4: Simplify right side
    281,713.20x = 92,585,581,219.44
  5. Step 5: Solve for x
    x = 92,585,581,219.44/281,713.20
  6. Step 6: Final answer
    x = 328,651.91

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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.