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Finding the Fourth Proportional to 419,704.60, 579,175.48 and 228,713.88

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Solution

The fourth proportional to 419,704.60, 579,175.48 and 228,713.88 is: 315,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,704.60 : 579,175.48 = 228,713.88 : x
  2. Step 2: Convert to fraction form
    419,704.60/579,175.48 = 228,713.88/x
  3. Step 3: Cross multiply
    419,704.60x = 579,175.48 × 228,713.88
  4. Step 4: Simplify right side
    419,704.60x = 132,465,471,231.66
  5. Step 5: Solve for x
    x = 132,465,471,231.66/419,704.60
  6. Step 6: Final answer
    x = 315,615.96

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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.