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Finding the Fourth Proportional to 357,321.38, 493,147.24 and 206,418.38

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Solution

The fourth proportional to 357,321.38, 493,147.24 and 206,418.38 is: 284,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,321.38 : 493,147.24 = 206,418.38 : x
  2. Step 2: Convert to fraction form
    357,321.38/493,147.24 = 206,418.38/x
  3. Step 3: Cross multiply
    357,321.38x = 493,147.24 × 206,418.38
  4. Step 4: Simplify right side
    357,321.38x = 101,794,651,400.49
  5. Step 5: Solve for x
    x = 101,794,651,400.49/357,321.38
  6. Step 6: Final answer
    x = 284,882.63

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1.5x scale

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.