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Finding the Fourth Proportional to 401,081.45, 601,756.16 and 131,221.94

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Solution

The fourth proportional to 401,081.45, 601,756.16 and 131,221.94 is: 196,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,081.45 : 601,756.16 = 131,221.94 : x
  2. Step 2: Convert to fraction form
    401,081.45/601,756.16 = 131,221.94/x
  3. Step 3: Cross multiply
    401,081.45x = 601,756.16 × 131,221.94
  4. Step 4: Simplify right side
    401,081.45x = 78,963,607,057.26
  5. Step 5: Solve for x
    x = 78,963,607,057.26/401,081.45
  6. Step 6: Final answer
    x = 196,876.74

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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.