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Finding the Fourth Proportional to 320,846.74, 481,743.21 and 178,969.21

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Solution

The fourth proportional to 320,846.74, 481,743.21 and 178,969.21 is: 268,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,846.74 : 481,743.21 = 178,969.21 : x
  2. Step 2: Convert to fraction form
    320,846.74/481,743.21 = 178,969.21/x
  3. Step 3: Cross multiply
    320,846.74x = 481,743.21 × 178,969.21
  4. Step 4: Simplify right side
    320,846.74x = 86,217,201,183.34
  5. Step 5: Solve for x
    x = 86,217,201,183.34/320,846.74
  6. Step 6: Final answer
    x = 268,717.71

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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.