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Finding the Fourth Proportional to 355,233.18, 490,198.26 and 202,287

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Solution

The fourth proportional to 355,233.18, 490,198.26 and 202,287 is: 279,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,233.18 : 490,198.26 = 202,287 : x
  2. Step 2: Convert to fraction form
    355,233.18/490,198.26 = 202,287/x
  3. Step 3: Cross multiply
    355,233.18x = 490,198.26 × 202,287
  4. Step 4: Simplify right side
    355,233.18x = 99,160,735,420.62
  5. Step 5: Solve for x
    x = 99,160,735,420.62/355,233.18
  6. Step 6: Final answer
    x = 279,142.66

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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.