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Finding the Fourth Proportional to 291,251.60, 401,910.12 and 163,922

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Solution

The fourth proportional to 291,251.60, 401,910.12 and 163,922 is: 226,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,251.60 : 401,910.12 = 163,922 : x
  2. Step 2: Convert to fraction form
    291,251.60/401,910.12 = 163,922/x
  3. Step 3: Cross multiply
    291,251.60x = 401,910.12 × 163,922
  4. Step 4: Simplify right side
    291,251.60x = 65,881,910,690.64
  5. Step 5: Solve for x
    x = 65,881,910,690.64/291,251.60
  6. Step 6: Final answer
    x = 226,202.74

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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.