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Finding the Fourth Proportional to 409,171.20, 612,996.48 and 222,339.84

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Solution

The fourth proportional to 409,171.20, 612,996.48 and 222,339.84 is: 333,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,171.20 : 612,996.48 = 222,339.84 : x
  2. Step 2: Convert to fraction form
    409,171.20/612,996.48 = 222,339.84/x
  3. Step 3: Cross multiply
    409,171.20x = 612,996.48 × 222,339.84
  4. Step 4: Simplify right side
    409,171.20x = 136,293,539,283.76
  5. Step 5: Solve for x
    x = 136,293,539,283.76/409,171.20
  6. Step 6: Final answer
    x = 333,096.61

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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.