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Finding the Fourth Proportional to 419,755.59, 579,245.85 and 228,764.88

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Solution

The fourth proportional to 419,755.59, 579,245.85 and 228,764.88 is: 315,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,755.59 : 579,245.85 = 228,764.88 : x
  2. Step 2: Convert to fraction form
    419,755.59/579,245.85 = 228,764.88/x
  3. Step 3: Cross multiply
    419,755.59x = 579,245.85 × 228,764.88
  4. Step 4: Simplify right side
    419,755.59x = 132,511,107,365.75
  5. Step 5: Solve for x
    x = 132,511,107,365.75/419,755.59
  6. Step 6: Final answer
    x = 315,686.34

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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.