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Finding the Fourth Proportional to 291,171.15, 401,781.15 and 162,078.57

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Solution

The fourth proportional to 291,171.15, 401,781.15 and 162,078.57 is: 223,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,171.15 : 401,781.15 = 162,078.57 : x
  2. Step 2: Convert to fraction form
    291,171.15/401,781.15 = 162,078.57/x
  3. Step 3: Cross multiply
    291,171.15x = 401,781.15 × 162,078.57
  4. Step 4: Simplify right side
    291,171.15x = 65,120,114,244.96
  5. Step 5: Solve for x
    x = 65,120,114,244.96/291,171.15
  6. Step 6: Final answer
    x = 223,648.92

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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.