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Finding the Fourth Proportional to 378,893.88, 567,799.02 and 278,264.52

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Solution

The fourth proportional to 378,893.88, 567,799.02 and 278,264.52 is: 416,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,893.88 : 567,799.02 = 278,264.52 : x
  2. Step 2: Convert to fraction form
    378,893.88/567,799.02 = 278,264.52/x
  3. Step 3: Cross multiply
    378,893.88x = 567,799.02 × 278,264.52
  4. Step 4: Simplify right side
    378,893.88x = 157,998,321,756.77
  5. Step 5: Solve for x
    x = 157,998,321,756.77/378,893.88
  6. Step 6: Final answer
    x = 416,998.88

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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.