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Finding the Fourth Proportional to 271,740, 405,129.44 and 264,834.32

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Solution

The fourth proportional to 271,740, 405,129.44 and 264,834.32 is: 394,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,740 : 405,129.44 = 264,834.32 : x
  2. Step 2: Convert to fraction form
    271,740/405,129.44 = 264,834.32/x
  3. Step 3: Cross multiply
    271,740x = 405,129.44 × 264,834.32
  4. Step 4: Simplify right side
    271,740x = 107,292,179,754.38
  5. Step 5: Solve for x
    x = 107,292,179,754.38/271,740
  6. Step 6: Final answer
    x = 394,833.96

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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.