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Finding the Fourth Proportional to 277,932, 416,921.04 and 80,940

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Solution

The fourth proportional to 277,932, 416,921.04 and 80,940 is: 121,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,932 : 416,921.04 = 80,940 : x
  2. Step 2: Convert to fraction form
    277,932/416,921.04 = 80,940/x
  3. Step 3: Cross multiply
    277,932x = 416,921.04 × 80,940
  4. Step 4: Simplify right side
    277,932x = 33,745,588,977.60
  5. Step 5: Solve for x
    x = 33,745,588,977.60/277,932
  6. Step 6: Final answer
    x = 121,416.71

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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.