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Finding the Fourth Proportional to 343,969.20, 515,176.20 and 204,001.20

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Solution

The fourth proportional to 343,969.20, 515,176.20 and 204,001.20 is: 305,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,969.20 : 515,176.20 = 204,001.20 : x
  2. Step 2: Convert to fraction form
    343,969.20/515,176.20 = 204,001.20/x
  3. Step 3: Cross multiply
    343,969.20x = 515,176.20 × 204,001.20
  4. Step 4: Simplify right side
    343,969.20x = 105,096,563,011.44
  5. Step 5: Solve for x
    x = 105,096,563,011.44/343,969.20
  6. Step 6: Final answer
    x = 305,540.62

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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.