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Finding the Fourth Proportional to 277,163.44, 382,485.45 and 149,839

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Solution

The fourth proportional to 277,163.44, 382,485.45 and 149,839 is: 206,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,163.44 : 382,485.45 = 149,839 : x
  2. Step 2: Convert to fraction form
    277,163.44/382,485.45 = 149,839/x
  3. Step 3: Cross multiply
    277,163.44x = 382,485.45 × 149,839
  4. Step 4: Simplify right side
    277,163.44x = 57,311,237,342.55
  5. Step 5: Solve for x
    x = 57,311,237,342.55/277,163.44
  6. Step 6: Final answer
    x = 206,777.77

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1.5x scale

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.