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Finding the Fourth Proportional to 412,012.43, 618,248.28 and 222,468.79

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Solution

The fourth proportional to 412,012.43, 618,248.28 and 222,468.79 is: 333,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,012.43 : 618,248.28 = 222,468.79 : x
  2. Step 2: Convert to fraction form
    412,012.43/618,248.28 = 222,468.79/x
  3. Step 3: Cross multiply
    412,012.43x = 618,248.28 × 222,468.79
  4. Step 4: Simplify right side
    412,012.43x = 137,540,946,771.18
  5. Step 5: Solve for x
    x = 137,540,946,771.18/412,012.43
  6. Step 6: Final answer
    x = 333,827.18

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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.