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Finding the Fourth Proportional to 543,811.12, 815,463 and 206,914.48

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Solution

The fourth proportional to 543,811.12, 815,463 and 206,914.48 is: 310,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,811.12 : 815,463 = 206,914.48 : x
  2. Step 2: Convert to fraction form
    543,811.12/815,463 = 206,914.48/x
  3. Step 3: Cross multiply
    543,811.12x = 815,463 × 206,914.48
  4. Step 4: Simplify right side
    543,811.12x = 168,731,102,604.24
  5. Step 5: Solve for x
    x = 168,731,102,604.24/543,811.12
  6. Step 6: Final answer
    x = 310,275.20

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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.