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Finding the Fourth Proportional to 291,231.63, 401,745.51 and 200,429.96

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Solution

The fourth proportional to 291,231.63, 401,745.51 and 200,429.96 is: 276,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,231.63 : 401,745.51 = 200,429.96 : x
  2. Step 2: Convert to fraction form
    291,231.63/401,745.51 = 200,429.96/x
  3. Step 3: Cross multiply
    291,231.63x = 401,745.51 × 200,429.96
  4. Step 4: Simplify right side
    291,231.63x = 80,521,834,490.75
  5. Step 5: Solve for x
    x = 80,521,834,490.75/291,231.63
  6. Step 6: Final answer
    x = 276,487.26

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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.