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Finding the Fourth Proportional to 291,165.84, 401,807.61 and 163,843.56

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Solution

The fourth proportional to 291,165.84, 401,807.61 and 163,843.56 is: 226,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,165.84 : 401,807.61 = 163,843.56 : x
  2. Step 2: Convert to fraction form
    291,165.84/401,807.61 = 163,843.56/x
  3. Step 3: Cross multiply
    291,165.84x = 401,807.61 × 163,843.56
  4. Step 4: Simplify right side
    291,165.84x = 65,833,589,257.49
  5. Step 5: Solve for x
    x = 65,833,589,257.49/291,165.84
  6. Step 6: Final answer
    x = 226,103.41

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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.