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Finding the Fourth Proportional to 291,162.64, 401,771.88 and 163,882

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Solution

The fourth proportional to 291,162.64, 401,771.88 and 163,882 is: 226,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,162.64 : 401,771.88 = 163,882 : x
  2. Step 2: Convert to fraction form
    291,162.64/401,771.88 = 163,882/x
  3. Step 3: Cross multiply
    291,162.64x = 401,771.88 × 163,882
  4. Step 4: Simplify right side
    291,162.64x = 65,843,179,238.16
  5. Step 5: Solve for x
    x = 65,843,179,238.16/291,162.64
  6. Step 6: Final answer
    x = 226,138.83

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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.