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Finding the Fourth Proportional to 277,686.57, 416,443.62 and 100,170.48

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Solution

The fourth proportional to 277,686.57, 416,443.62 and 100,170.48 is: 150,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,686.57 : 416,443.62 = 100,170.48 : x
  2. Step 2: Convert to fraction form
    277,686.57/416,443.62 = 100,170.48/x
  3. Step 3: Cross multiply
    277,686.57x = 416,443.62 × 100,170.48
  4. Step 4: Simplify right side
    277,686.57x = 41,715,357,308.34
  5. Step 5: Solve for x
    x = 41,715,357,308.34/277,686.57
  6. Step 6: Final answer
    x = 150,224.61

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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.