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Finding the Fourth Proportional to 401,049.11, 601,610.77 and 131,178.77

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Solution

The fourth proportional to 401,049.11, 601,610.77 and 131,178.77 is: 196,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,049.11 : 601,610.77 = 131,178.77 : x
  2. Step 2: Convert to fraction form
    401,049.11/601,610.77 = 131,178.77/x
  3. Step 3: Cross multiply
    401,049.11x = 601,610.77 × 131,178.77
  4. Step 4: Simplify right side
    401,049.11x = 78,918,560,827.35
  5. Step 5: Solve for x
    x = 78,918,560,827.35/401,049.11
  6. Step 6: Final answer
    x = 196,780.29

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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.