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Finding the Fourth Proportional to 277,705.82, 416,472.59 and 100,189.76

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Solution

The fourth proportional to 277,705.82, 416,472.59 and 100,189.76 is: 150,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,705.82 : 416,472.59 = 100,189.76 : x
  2. Step 2: Convert to fraction form
    277,705.82/416,472.59 = 100,189.76/x
  3. Step 3: Cross multiply
    277,705.82x = 416,472.59 × 100,189.76
  4. Step 4: Simplify right side
    277,705.82x = 41,726,287,006.79
  5. Step 5: Solve for x
    x = 41,726,287,006.79/277,705.82
  6. Step 6: Final answer
    x = 150,253.55

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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.