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Finding the Fourth Proportional to 409,995.66, 615,171.09 and 220,234.61

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Solution

The fourth proportional to 409,995.66, 615,171.09 and 220,234.61 is: 330,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,995.66 : 615,171.09 = 220,234.61 : x
  2. Step 2: Convert to fraction form
    409,995.66/615,171.09 = 220,234.61/x
  3. Step 3: Cross multiply
    409,995.66x = 615,171.09 × 220,234.61
  4. Step 4: Simplify right side
    409,995.66x = 135,481,963,579.96
  5. Step 5: Solve for x
    x = 135,481,963,579.96/409,995.66
  6. Step 6: Final answer
    x = 330,447.31

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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.