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Finding the Fourth Proportional to 300,991.95, 415,385.87 and 178,556.82

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Solution

The fourth proportional to 300,991.95, 415,385.87 and 178,556.82 is: 246,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,991.95 : 415,385.87 = 178,556.82 : x
  2. Step 2: Convert to fraction form
    300,991.95/415,385.87 = 178,556.82/x
  3. Step 3: Cross multiply
    300,991.95x = 415,385.87 × 178,556.82
  4. Step 4: Simplify right side
    300,991.95x = 74,169,979,127.35
  5. Step 5: Solve for x
    x = 74,169,979,127.35/300,991.95
  6. Step 6: Final answer
    x = 246,418.48

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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.