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Finding the Fourth Proportional to 543,643.26, 815,141.88 and 206,708.56

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Solution

The fourth proportional to 543,643.26, 815,141.88 and 206,708.56 is: 309,940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,643.26 : 815,141.88 = 206,708.56 : x
  2. Step 2: Convert to fraction form
    543,643.26/815,141.88 = 206,708.56/x
  3. Step 3: Cross multiply
    543,643.26x = 815,141.88 × 206,708.56
  4. Step 4: Simplify right side
    543,643.26x = 168,496,804,210.49
  5. Step 5: Solve for x
    x = 168,496,804,210.49/543,643.26
  6. Step 6: Final answer
    x = 309,940.02

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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.