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Finding the Fourth Proportional to 277,979.43, 416,969.75 and 100,486.14

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Solution

The fourth proportional to 277,979.43, 416,969.75 and 100,486.14 is: 150,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,979.43 : 416,969.75 = 100,486.14 : x
  2. Step 2: Convert to fraction form
    277,979.43/416,969.75 = 100,486.14/x
  3. Step 3: Cross multiply
    277,979.43x = 416,969.75 × 100,486.14
  4. Step 4: Simplify right side
    277,979.43x = 41,899,680,171.83
  5. Step 5: Solve for x
    x = 41,899,680,171.83/277,979.43
  6. Step 6: Final answer
    x = 150,729.43

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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.