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Finding the Fourth Proportional to 271,488.06, 405,027.64 and 256,791.42

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Solution

The fourth proportional to 271,488.06, 405,027.64 and 256,791.42 is: 383,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,488.06 : 405,027.64 = 256,791.42 : x
  2. Step 2: Convert to fraction form
    271,488.06/405,027.64 = 256,791.42/x
  3. Step 3: Cross multiply
    271,488.06x = 405,027.64 × 256,791.42
  4. Step 4: Simplify right side
    271,488.06x = 104,007,622,814.85
  5. Step 5: Solve for x
    x = 104,007,622,814.85/271,488.06
  6. Step 6: Final answer
    x = 383,102.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.