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Finding the Fourth Proportional to 204,474.40, 306,721.20 and 64,237.60

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Solution

The fourth proportional to 204,474.40, 306,721.20 and 64,237.60 is: 96,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,474.40 : 306,721.20 = 64,237.60 : x
  2. Step 2: Convert to fraction form
    204,474.40/306,721.20 = 64,237.60/x
  3. Step 3: Cross multiply
    204,474.40x = 306,721.20 × 64,237.60
  4. Step 4: Simplify right side
    204,474.40x = 19,703,033,757.12
  5. Step 5: Solve for x
    x = 19,703,033,757.12/204,474.40
  6. Step 6: Final answer
    x = 96,359.42

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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.