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Finding the Fourth Proportional to 299,958.39, 413,942.81 and 163,990.17

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Solution

The fourth proportional to 299,958.39, 413,942.81 and 163,990.17 is: 226,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,958.39 : 413,942.81 = 163,990.17 : x
  2. Step 2: Convert to fraction form
    299,958.39/413,942.81 = 163,990.17/x
  3. Step 3: Cross multiply
    299,958.39x = 413,942.81 × 163,990.17
  4. Step 4: Simplify right side
    299,958.39x = 67,882,550,962.23
  5. Step 5: Solve for x
    x = 67,882,550,962.23/299,958.39
  6. Step 6: Final answer
    x = 226,306.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.