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Finding the Fourth Proportional to 291,174.15, 401,820.15 and 163,849.86

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Solution

The fourth proportional to 291,174.15, 401,820.15 and 163,849.86 is: 226,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,174.15 : 401,820.15 = 163,849.86 : x
  2. Step 2: Convert to fraction form
    291,174.15/401,820.15 = 163,849.86/x
  3. Step 3: Cross multiply
    291,174.15x = 401,820.15 × 163,849.86
  4. Step 4: Simplify right side
    291,174.15x = 65,838,175,322.68
  5. Step 5: Solve for x
    x = 65,838,175,322.68/291,174.15
  6. Step 6: Final answer
    x = 226,112.71

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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.