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Finding the Fourth Proportional to 356,474.20, 491,887.72 and 213,181.96

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Solution

The fourth proportional to 356,474.20, 491,887.72 and 213,181.96 is: 294,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,474.20 : 491,887.72 = 213,181.96 : x
  2. Step 2: Convert to fraction form
    356,474.20/491,887.72 = 213,181.96/x
  3. Step 3: Cross multiply
    356,474.20x = 491,887.72 × 213,181.96
  4. Step 4: Simplify right side
    356,474.20x = 104,861,588,249.53
  5. Step 5: Solve for x
    x = 104,861,588,249.53/356,474.20
  6. Step 6: Final answer
    x = 294,163.19

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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.