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Finding the Fourth Proportional to 543,458.30, 815,328.40 and 206,504.78

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Solution

The fourth proportional to 543,458.30, 815,328.40 and 206,504.78 is: 309,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,458.30 : 815,328.40 = 206,504.78 : x
  2. Step 2: Convert to fraction form
    543,458.30/815,328.40 = 206,504.78/x
  3. Step 3: Cross multiply
    543,458.30x = 815,328.40 × 206,504.78
  4. Step 4: Simplify right side
    543,458.30x = 168,369,211,869.75
  5. Step 5: Solve for x
    x = 168,369,211,869.75/543,458.30
  6. Step 6: Final answer
    x = 309,810.73

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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.