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Finding the Fourth Proportional to 443,114.28, 664,888.32 and 274,589.55

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Solution

The fourth proportional to 443,114.28, 664,888.32 and 274,589.55 is: 412,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,114.28 : 664,888.32 = 274,589.55 : x
  2. Step 2: Convert to fraction form
    443,114.28/664,888.32 = 274,589.55/x
  3. Step 3: Cross multiply
    443,114.28x = 664,888.32 × 274,589.55
  4. Step 4: Simplify right side
    443,114.28x = 182,571,384,589.06
  5. Step 5: Solve for x
    x = 182,571,384,589.06/443,114.28
  6. Step 6: Final answer
    x = 412,018.73

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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.