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Finding the Fourth Proportional to 222,405.60, 333,154.80 and 137,906.40

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Solution

The fourth proportional to 222,405.60, 333,154.80 and 137,906.40 is: 206,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,405.60 : 333,154.80 = 137,906.40 : x
  2. Step 2: Convert to fraction form
    222,405.60/333,154.80 = 137,906.40/x
  3. Step 3: Cross multiply
    222,405.60x = 333,154.80 × 137,906.40
  4. Step 4: Simplify right side
    222,405.60x = 45,944,179,110.72
  5. Step 5: Solve for x
    x = 45,944,179,110.72/222,405.60
  6. Step 6: Final answer
    x = 206,578.34

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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.