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Finding the Fourth Proportional to 378,540.95, 568,635.66 and 228,851.73

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Solution

The fourth proportional to 378,540.95, 568,635.66 and 228,851.73 is: 343,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,540.95 : 568,635.66 = 228,851.73 : x
  2. Step 2: Convert to fraction form
    378,540.95/568,635.66 = 228,851.73/x
  3. Step 3: Cross multiply
    378,540.95x = 568,635.66 × 228,851.73
  4. Step 4: Simplify right side
    378,540.95x = 130,133,254,530.69
  5. Step 5: Solve for x
    x = 130,133,254,530.69/378,540.95
  6. Step 6: Final answer
    x = 343,775.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.