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Finding the Fourth Proportional to 543,906.31, 815,859.46 and 206,869.10

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Solution

The fourth proportional to 543,906.31, 815,859.46 and 206,869.10 is: 310,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,906.31 : 815,859.46 = 206,869.10 : x
  2. Step 2: Convert to fraction form
    543,906.31/815,859.46 = 206,869.10/x
  3. Step 3: Cross multiply
    543,906.31x = 815,859.46 × 206,869.10
  4. Step 4: Simplify right side
    543,906.31x = 168,776,112,216.69
  5. Step 5: Solve for x
    x = 168,776,112,216.69/543,906.31
  6. Step 6: Final answer
    x = 310,303.65

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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.