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Finding the Fourth Proportional to 300,879.80, 415,159.64 and 193,425.20

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Solution

The fourth proportional to 300,879.80, 415,159.64 and 193,425.20 is: 266,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,879.80 : 415,159.64 = 193,425.20 : x
  2. Step 2: Convert to fraction form
    300,879.80/415,159.64 = 193,425.20/x
  3. Step 3: Cross multiply
    300,879.80x = 415,159.64 × 193,425.20
  4. Step 4: Simplify right side
    300,879.80x = 80,302,336,398.93
  5. Step 5: Solve for x
    x = 80,302,336,398.93/300,879.80
  6. Step 6: Final answer
    x = 266,891.75

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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.