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Finding the Fourth Proportional to 543,742.80, 815,905.80 and 228,231.60

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Solution

The fourth proportional to 543,742.80, 815,905.80 and 228,231.60 is: 342,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,742.80 : 815,905.80 = 228,231.60 : x
  2. Step 2: Convert to fraction form
    543,742.80/815,905.80 = 228,231.60/x
  3. Step 3: Cross multiply
    543,742.80x = 815,905.80 × 228,231.60
  4. Step 4: Simplify right side
    543,742.80x = 186,215,486,183.28
  5. Step 5: Solve for x
    x = 186,215,486,183.28/543,742.80
  6. Step 6: Final answer
    x = 342,469.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.