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Finding the Fourth Proportional to 356,003.52, 491,394.24 and 205,200.96

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Solution

The fourth proportional to 356,003.52, 491,394.24 and 205,200.96 is: 283,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,003.52 : 491,394.24 = 205,200.96 : x
  2. Step 2: Convert to fraction form
    356,003.52/491,394.24 = 205,200.96/x
  3. Step 3: Cross multiply
    356,003.52x = 491,394.24 × 205,200.96
  4. Step 4: Simplify right side
    356,003.52x = 100,834,569,786.47
  5. Step 5: Solve for x
    x = 100,834,569,786.47/356,003.52
  6. Step 6: Final answer
    x = 283,240.37

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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.