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Finding the Fourth Proportional to 378,777.88, 567,625.50 and 278,148.64

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Solution

The fourth proportional to 378,777.88, 567,625.50 and 278,148.64 is: 416,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,777.88 : 567,625.50 = 278,148.64 : x
  2. Step 2: Convert to fraction form
    378,777.88/567,625.50 = 278,148.64/x
  3. Step 3: Cross multiply
    378,777.88x = 567,625.50 × 278,148.64
  4. Step 4: Simplify right side
    378,777.88x = 157,884,260,854.32
  5. Step 5: Solve for x
    x = 157,884,260,854.32/378,777.88
  6. Step 6: Final answer
    x = 416,825.45

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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.