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Finding the Fourth Proportional to 543,001.82, 814,550.61 and 201,449.21

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Solution

The fourth proportional to 543,001.82, 814,550.61 and 201,449.21 is: 302,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,001.82 : 814,550.61 = 201,449.21 : x
  2. Step 2: Convert to fraction form
    543,001.82/814,550.61 = 201,449.21/x
  3. Step 3: Cross multiply
    543,001.82x = 814,550.61 × 201,449.21
  4. Step 4: Simplify right side
    543,001.82x = 164,090,571,809.52
  5. Step 5: Solve for x
    x = 164,090,571,809.52/543,001.82
  6. Step 6: Final answer
    x = 302,191.57

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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.