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Finding the Fourth Proportional to 320,841.43, 481,735.25 and 178,963.91

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Solution

The fourth proportional to 320,841.43, 481,735.25 and 178,963.91 is: 268,709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,841.43 : 481,735.25 = 178,963.91 : x
  2. Step 2: Convert to fraction form
    320,841.43/481,735.25 = 178,963.91/x
  3. Step 3: Cross multiply
    320,841.43x = 481,735.25 × 178,963.91
  4. Step 4: Simplify right side
    320,841.43x = 86,213,223,030.01
  5. Step 5: Solve for x
    x = 86,213,223,030.01/320,841.43
  6. Step 6: Final answer
    x = 268,709.76

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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.