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Finding the Fourth Proportional to 481,648.32, 664,680 and 266,791.68

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Solution

The fourth proportional to 481,648.32, 664,680 and 266,791.68 is: 368,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,648.32 : 664,680 = 266,791.68 : x
  2. Step 2: Convert to fraction form
    481,648.32/664,680 = 266,791.68/x
  3. Step 3: Cross multiply
    481,648.32x = 664,680 × 266,791.68
  4. Step 4: Simplify right side
    481,648.32x = 177,331,093,862.40
  5. Step 5: Solve for x
    x = 177,331,093,862.40/481,648.32
  6. Step 6: Final answer
    x = 368,175.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.