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Finding the Fourth Proportional to 407,961.72, 611,942.47 and 127,478.97

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Solution

The fourth proportional to 407,961.72, 611,942.47 and 127,478.97 is: 191,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,961.72 : 611,942.47 = 127,478.97 : x
  2. Step 2: Convert to fraction form
    407,961.72/611,942.47 = 127,478.97/x
  3. Step 3: Cross multiply
    407,961.72x = 611,942.47 × 127,478.97
  4. Step 4: Simplify right side
    407,961.72x = 78,009,795,456.16
  5. Step 5: Solve for x
    x = 78,009,795,456.16/407,961.72
  6. Step 6: Final answer
    x = 191,218.42

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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.