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Finding the Fourth Proportional to 291,105.36, 401,682.24 and 163,773.36

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Solution

The fourth proportional to 291,105.36, 401,682.24 and 163,773.36 is: 225,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,105.36 : 401,682.24 = 163,773.36 : x
  2. Step 2: Convert to fraction form
    291,105.36/401,682.24 = 163,773.36/x
  3. Step 3: Cross multiply
    291,105.36x = 401,682.24 × 163,773.36
  4. Step 4: Simplify right side
    291,105.36x = 65,784,850,097.13
  5. Step 5: Solve for x
    x = 65,784,850,097.13/291,105.36
  6. Step 6: Final answer
    x = 225,982.96

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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.