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Finding the Fourth Proportional to 300,784, 415,081.92 and 179,930.38

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Solution

The fourth proportional to 300,784, 415,081.92 and 179,930.38 is: 248,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,784 : 415,081.92 = 179,930.38 : x
  2. Step 2: Convert to fraction form
    300,784/415,081.92 = 179,930.38/x
  3. Step 3: Cross multiply
    300,784x = 415,081.92 × 179,930.38
  4. Step 4: Simplify right side
    300,784x = 74,685,847,596.73
  5. Step 5: Solve for x
    x = 74,685,847,596.73/300,784
  6. Step 6: Final answer
    x = 248,303.92

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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.