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Finding the Fourth Proportional to 277,804.32, 416,718 and 80,812.32

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Solution

The fourth proportional to 277,804.32, 416,718 and 80,812.32 is: 121,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,804.32 : 416,718 = 80,812.32 : x
  2. Step 2: Convert to fraction form
    277,804.32/416,718 = 80,812.32/x
  3. Step 3: Cross multiply
    277,804.32x = 416,718 × 80,812.32
  4. Step 4: Simplify right side
    277,804.32x = 33,675,948,365.76
  5. Step 5: Solve for x
    x = 33,675,948,365.76/277,804.32
  6. Step 6: Final answer
    x = 121,221.83

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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.