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Finding the Fourth Proportional to 543,742.96, 815,614.98 and 206,704.48

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Solution

The fourth proportional to 543,742.96, 815,614.98 and 206,704.48 is: 310,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,742.96 : 815,614.98 = 206,704.48 : x
  2. Step 2: Convert to fraction form
    543,742.96/815,614.98 = 206,704.48/x
  3. Step 3: Cross multiply
    543,742.96x = 815,614.98 × 206,704.48
  4. Step 4: Simplify right side
    543,742.96x = 168,591,270,321.11
  5. Step 5: Solve for x
    x = 168,591,270,321.11/543,742.96
  6. Step 6: Final answer
    x = 310,056.93

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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.