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Finding the Fourth Proportional to 419,796.56, 579,328.44 and 228,819.44

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Solution

The fourth proportional to 419,796.56, 579,328.44 and 228,819.44 is: 315,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,796.56 : 579,328.44 = 228,819.44 : x
  2. Step 2: Convert to fraction form
    419,796.56/579,328.44 = 228,819.44/x
  3. Step 3: Cross multiply
    419,796.56x = 579,328.44 × 228,819.44
  4. Step 4: Simplify right side
    419,796.56x = 132,561,609,216.87
  5. Step 5: Solve for x
    x = 132,561,609,216.87/419,796.56
  6. Step 6: Final answer
    x = 315,775.83

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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.