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Finding the Fourth Proportional to 419,704.42, 579,198.81 and 228,717.94

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Solution

The fourth proportional to 419,704.42, 579,198.81 and 228,717.94 is: 315,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,704.42 : 579,198.81 = 228,717.94 : x
  2. Step 2: Convert to fraction form
    419,704.42/579,198.81 = 228,717.94/x
  3. Step 3: Cross multiply
    419,704.42x = 579,198.81 × 228,717.94
  4. Step 4: Simplify right side
    419,704.42x = 132,473,158,673.65
  5. Step 5: Solve for x
    x = 132,473,158,673.65/419,704.42
  6. Step 6: Final answer
    x = 315,634.41

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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.