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Finding the Fourth Proportional to 277,112.80, 415,791.60 and 134,879.20

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Solution

The fourth proportional to 277,112.80, 415,791.60 and 134,879.20 is: 202,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,112.80 : 415,791.60 = 134,879.20 : x
  2. Step 2: Convert to fraction form
    277,112.80/415,791.60 = 134,879.20/x
  3. Step 3: Cross multiply
    277,112.80x = 415,791.60 × 134,879.20
  4. Step 4: Simplify right side
    277,112.80x = 56,081,638,374.72
  5. Step 5: Solve for x
    x = 56,081,638,374.72/277,112.80
  6. Step 6: Final answer
    x = 202,378.38

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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.