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Finding the Fourth Proportional to 361,780.50, 499,257.09 and 200,660.22

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Solution

The fourth proportional to 361,780.50, 499,257.09 and 200,660.22 is: 276,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,780.50 : 499,257.09 = 200,660.22 : x
  2. Step 2: Convert to fraction form
    361,780.50/499,257.09 = 200,660.22/x
  3. Step 3: Cross multiply
    361,780.50x = 499,257.09 × 200,660.22
  4. Step 4: Simplify right side
    361,780.50x = 100,181,037,515.96
  5. Step 5: Solve for x
    x = 100,181,037,515.96/361,780.50
  6. Step 6: Final answer
    x = 276,911.10

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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.