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Finding the Fourth Proportional to 268,296, 370,249.92 and 149,064

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Solution

The fourth proportional to 268,296, 370,249.92 and 149,064 is: 205,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,296 : 370,249.92 = 149,064 : x
  2. Step 2: Convert to fraction form
    268,296/370,249.92 = 149,064/x
  3. Step 3: Cross multiply
    268,296x = 370,249.92 × 149,064
  4. Step 4: Simplify right side
    268,296x = 55,190,934,074.88
  5. Step 5: Solve for x
    x = 55,190,934,074.88/268,296
  6. Step 6: Final answer
    x = 205,709.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.