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Finding the Fourth Proportional to 403,729.31, 605,414.00 and 214,146.53

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Solution

The fourth proportional to 403,729.31, 605,414.00 and 214,146.53 is: 321,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,729.31 : 605,414.00 = 214,146.53 : x
  2. Step 2: Convert to fraction form
    403,729.31/605,414.00 = 214,146.53/x
  3. Step 3: Cross multiply
    403,729.31x = 605,414.00 × 214,146.53
  4. Step 4: Simplify right side
    403,729.31x = 129,647,303,215.62
  5. Step 5: Solve for x
    x = 129,647,303,215.62/403,729.31
  6. Step 6: Final answer
    x = 321,124.33

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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.