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Finding the Fourth Proportional to 380,043.36, 569,874.24 and 127,236.96

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Solution

The fourth proportional to 380,043.36, 569,874.24 and 127,236.96 is: 190,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,043.36 : 569,874.24 = 127,236.96 : x
  2. Step 2: Convert to fraction form
    380,043.36/569,874.24 = 127,236.96/x
  3. Step 3: Cross multiply
    380,043.36x = 569,874.24 × 127,236.96
  4. Step 4: Simplify right side
    380,043.36x = 72,509,065,879.91
  5. Step 5: Solve for x
    x = 72,509,065,879.91/380,043.36
  6. Step 6: Final answer
    x = 190,791.56

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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.