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Finding the Fourth Proportional to 291,134.92, 401,774.04 and 163,815.04

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Solution

The fourth proportional to 291,134.92, 401,774.04 and 163,815.04 is: 226,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,134.92 : 401,774.04 = 163,815.04 : x
  2. Step 2: Convert to fraction form
    291,134.92/401,774.04 = 163,815.04/x
  3. Step 3: Cross multiply
    291,134.92x = 401,774.04 × 163,815.04
  4. Step 4: Simplify right side
    291,134.92x = 65,816,630,433.56
  5. Step 5: Solve for x
    x = 65,816,630,433.56/291,134.92
  6. Step 6: Final answer
    x = 226,069.17

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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.