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Finding the Fourth Proportional to 429,311.96, 644,076.64 and 303,198.56

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Solution

The fourth proportional to 429,311.96, 644,076.64 and 303,198.56 is: 454,874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,311.96 : 644,076.64 = 303,198.56 : x
  2. Step 2: Convert to fraction form
    429,311.96/644,076.64 = 303,198.56/x
  3. Step 3: Cross multiply
    429,311.96x = 644,076.64 × 303,198.56
  4. Step 4: Simplify right side
    429,311.96x = 195,283,109,777.64
  5. Step 5: Solve for x
    x = 195,283,109,777.64/429,311.96
  6. Step 6: Final answer
    x = 454,874.61

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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.