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Finding the Fourth Proportional to 283,794.72, 391,229.78 and 223,260.22

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Solution

The fourth proportional to 283,794.72, 391,229.78 and 223,260.22 is: 307,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,794.72 : 391,229.78 = 223,260.22 : x
  2. Step 2: Convert to fraction form
    283,794.72/391,229.78 = 223,260.22/x
  3. Step 3: Cross multiply
    283,794.72x = 391,229.78 × 223,260.22
  4. Step 4: Simplify right side
    283,794.72x = 87,346,046,753.35
  5. Step 5: Solve for x
    x = 87,346,046,753.35/283,794.72
  6. Step 6: Final answer
    x = 307,778.98

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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.