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Finding the Fourth Proportional to 378,362.28, 567,897.72 and 191,505

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Solution

The fourth proportional to 378,362.28, 567,897.72 and 191,505 is: 287,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,362.28 : 567,897.72 = 191,505 : x
  2. Step 2: Convert to fraction form
    378,362.28/567,897.72 = 191,505/x
  3. Step 3: Cross multiply
    378,362.28x = 567,897.72 × 191,505
  4. Step 4: Simplify right side
    378,362.28x = 108,755,252,868.60
  5. Step 5: Solve for x
    x = 108,755,252,868.60/378,362.28
  6. Step 6: Final answer
    x = 287,436.83

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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.