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Finding the Fourth Proportional to 401,745.88, 602,198.33 and 135,414.34

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Solution

The fourth proportional to 401,745.88, 602,198.33 and 135,414.34 is: 202,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,745.88 : 602,198.33 = 135,414.34 : x
  2. Step 2: Convert to fraction form
    401,745.88/602,198.33 = 135,414.34/x
  3. Step 3: Cross multiply
    401,745.88x = 602,198.33 × 135,414.34
  4. Step 4: Simplify right side
    401,745.88x = 81,546,287,223.48
  5. Step 5: Solve for x
    x = 81,546,287,223.48/401,745.88
  6. Step 6: Final answer
    x = 202,979.77

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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.