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Finding the Fourth Proportional to 277,219.80, 415,829.70 and 66,857.74

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Solution

The fourth proportional to 277,219.80, 415,829.70 and 66,857.74 is: 100,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,219.80 : 415,829.70 = 66,857.74 : x
  2. Step 2: Convert to fraction form
    277,219.80/415,829.70 = 66,857.74/x
  3. Step 3: Cross multiply
    277,219.80x = 415,829.70 × 66,857.74
  4. Step 4: Simplify right side
    277,219.80x = 27,801,432,927.30
  5. Step 5: Solve for x
    x = 27,801,432,927.30/277,219.80
  6. Step 6: Final answer
    x = 100,286.61

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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.