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Finding the Fourth Proportional to 277,755.76, 416,653.26 and 137,476.72

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Solution

The fourth proportional to 277,755.76, 416,653.26 and 137,476.72 is: 206,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,755.76 : 416,653.26 = 137,476.72 : x
  2. Step 2: Convert to fraction form
    277,755.76/416,653.26 = 137,476.72/x
  3. Step 3: Cross multiply
    277,755.76x = 416,653.26 × 137,476.72
  4. Step 4: Simplify right side
    277,755.76x = 57,280,123,562.11
  5. Step 5: Solve for x
    x = 57,280,123,562.11/277,755.76
  6. Step 6: Final answer
    x = 206,224.79

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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.