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Finding the Fourth Proportional to 543,487.16, 814,489.44 and 206,347.28

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Solution

The fourth proportional to 543,487.16, 814,489.44 and 206,347.28 is: 309,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,487.16 : 814,489.44 = 206,347.28 : x
  2. Step 2: Convert to fraction form
    543,487.16/814,489.44 = 206,347.28/x
  3. Step 3: Cross multiply
    543,487.16x = 814,489.44 × 206,347.28
  4. Step 4: Simplify right side
    543,487.16x = 168,067,680,532.72
  5. Step 5: Solve for x
    x = 168,067,680,532.72/543,487.16
  6. Step 6: Final answer
    x = 309,239.47

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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.