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Finding the Fourth Proportional to 291,011.32, 401,601 and 161,960.50

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Solution

The fourth proportional to 291,011.32, 401,601 and 161,960.50 is: 223,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,011.32 : 401,601 = 161,960.50 : x
  2. Step 2: Convert to fraction form
    291,011.32/401,601 = 161,960.50/x
  3. Step 3: Cross multiply
    291,011.32x = 401,601 × 161,960.50
  4. Step 4: Simplify right side
    291,011.32x = 65,043,498,760.50
  5. Step 5: Solve for x
    x = 65,043,498,760.50/291,011.32
  6. Step 6: Final answer
    x = 223,508.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.