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Finding the Fourth Proportional to 401,446.60, 602,170.92 and 135,394

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Solution

The fourth proportional to 401,446.60, 602,170.92 and 135,394 is: 203,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,446.60 : 602,170.92 = 135,394 : x
  2. Step 2: Convert to fraction form
    401,446.60/602,170.92 = 135,394/x
  3. Step 3: Cross multiply
    401,446.60x = 602,170.92 × 135,394
  4. Step 4: Simplify right side
    401,446.60x = 81,530,329,542.48
  5. Step 5: Solve for x
    x = 81,530,329,542.48/401,446.60
  6. Step 6: Final answer
    x = 203,091.34

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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.