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Finding the Fourth Proportional to 277,395.12, 415,843.02 and 99,777.42

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Solution

The fourth proportional to 277,395.12, 415,843.02 and 99,777.42 is: 149,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,395.12 : 415,843.02 = 99,777.42 : x
  2. Step 2: Convert to fraction form
    277,395.12/415,843.02 = 99,777.42/x
  3. Step 3: Cross multiply
    277,395.12x = 415,843.02 × 99,777.42
  4. Step 4: Simplify right side
    277,395.12x = 41,491,743,660.61
  5. Step 5: Solve for x
    x = 41,491,743,660.61/277,395.12
  6. Step 6: Final answer
    x = 149,576.33

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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.