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Finding the Fourth Proportional to 378,077.76, 567,466.56 and 191,220.48

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Solution

The fourth proportional to 378,077.76, 567,466.56 and 191,220.48 is: 287,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,077.76 : 567,466.56 = 191,220.48 : x
  2. Step 2: Convert to fraction form
    378,077.76/567,466.56 = 191,220.48/x
  3. Step 3: Cross multiply
    378,077.76x = 567,466.56 × 191,220.48
  4. Step 4: Simplify right side
    378,077.76x = 108,511,227,987.15
  5. Step 5: Solve for x
    x = 108,511,227,987.15/378,077.76
  6. Step 6: Final answer
    x = 287,007.70

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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.