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Finding the Fourth Proportional to 419,771.80, 579,297.72 and 228,797.56

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Solution

The fourth proportional to 419,771.80, 579,297.72 and 228,797.56 is: 315,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,771.80 : 579,297.72 = 228,797.56 : x
  2. Step 2: Convert to fraction form
    419,771.80/579,297.72 = 228,797.56/x
  3. Step 3: Cross multiply
    419,771.80x = 579,297.72 × 228,797.56
  4. Step 4: Simplify right side
    419,771.80x = 132,541,904,849.56
  5. Step 5: Solve for x
    x = 132,541,904,849.56/419,771.80
  6. Step 6: Final answer
    x = 315,747.52

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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.