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Finding the Fourth Proportional to 268,033.80, 403,977.31 and 231,040.36

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Solution

The fourth proportional to 268,033.80, 403,977.31 and 231,040.36 is: 348,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,033.80 : 403,977.31 = 231,040.36 : x
  2. Step 2: Convert to fraction form
    268,033.80/403,977.31 = 231,040.36/x
  3. Step 3: Cross multiply
    268,033.80x = 403,977.31 × 231,040.36
  4. Step 4: Simplify right side
    268,033.80x = 93,335,063,134.23
  5. Step 5: Solve for x
    x = 93,335,063,134.23/268,033.80
  6. Step 6: Final answer
    x = 348,221.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.