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Finding the Fourth Proportional to 271,028.20, 405,764.70 and 263,252.20

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Solution

The fourth proportional to 271,028.20, 405,764.70 and 263,252.20 is: 394,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,028.20 : 405,764.70 = 263,252.20 : x
  2. Step 2: Convert to fraction form
    271,028.20/405,764.70 = 263,252.20/x
  3. Step 3: Cross multiply
    271,028.20x = 405,764.70 × 263,252.20
  4. Step 4: Simplify right side
    271,028.20x = 106,818,449,957.34
  5. Step 5: Solve for x
    x = 106,818,449,957.34/271,028.20
  6. Step 6: Final answer
    x = 394,123.01

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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.