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Finding the Fourth Proportional to 378,308.66, 522,069.46 and 208,548.86

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Solution

The fourth proportional to 378,308.66, 522,069.46 and 208,548.86 is: 287,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,308.66 : 522,069.46 = 208,548.86 : x
  2. Step 2: Convert to fraction form
    378,308.66/522,069.46 = 208,548.86/x
  3. Step 3: Cross multiply
    378,308.66x = 522,069.46 × 208,548.86
  4. Step 4: Simplify right side
    378,308.66x = 108,876,990,723.82
  5. Step 5: Solve for x
    x = 108,876,990,723.82/378,308.66
  6. Step 6: Final answer
    x = 287,799.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.