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Finding the Fourth Proportional to 419,640.93, 579,104.61 and 228,654.27

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Solution

The fourth proportional to 419,640.93, 579,104.61 and 228,654.27 is: 315,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,640.93 : 579,104.61 = 228,654.27 : x
  2. Step 2: Convert to fraction form
    419,640.93/579,104.61 = 228,654.27/x
  3. Step 3: Cross multiply
    419,640.93x = 579,104.61 × 228,654.27
  4. Step 4: Simplify right side
    419,640.93x = 132,414,741,853.19
  5. Step 5: Solve for x
    x = 132,414,741,853.19/419,640.93
  6. Step 6: Final answer
    x = 315,542.96

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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.