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Finding the Fourth Proportional to 277,728, 416,663.04 and 80,736

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Solution

The fourth proportional to 277,728, 416,663.04 and 80,736 is: 121,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,728 : 416,663.04 = 80,736 : x
  2. Step 2: Convert to fraction form
    277,728/416,663.04 = 80,736/x
  3. Step 3: Cross multiply
    277,728x = 416,663.04 × 80,736
  4. Step 4: Simplify right side
    277,728x = 33,639,707,197.44
  5. Step 5: Solve for x
    x = 33,639,707,197.44/277,728
  6. Step 6: Final answer
    x = 121,124.65

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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.