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Finding the Fourth Proportional to 378,796.96, 567,654 and 278,167.84

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Solution

The fourth proportional to 378,796.96, 567,654 and 278,167.84 is: 416,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,796.96 : 567,654 = 278,167.84 : x
  2. Step 2: Convert to fraction form
    378,796.96/567,654 = 278,167.84/x
  3. Step 3: Cross multiply
    378,796.96x = 567,654 × 278,167.84
  4. Step 4: Simplify right side
    378,796.96x = 157,903,087,047.36
  5. Step 5: Solve for x
    x = 157,903,087,047.36/378,796.96
  6. Step 6: Final answer
    x = 416,854.16

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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.