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Finding the Fourth Proportional to 378,404.64, 522,188.64 and 208,635.84

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Solution

The fourth proportional to 378,404.64, 522,188.64 and 208,635.84 is: 287,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,404.64 : 522,188.64 = 208,635.84 : x
  2. Step 2: Convert to fraction form
    378,404.64/522,188.64 = 208,635.84/x
  3. Step 3: Cross multiply
    378,404.64x = 522,188.64 × 208,635.84
  4. Step 4: Simplify right side
    378,404.64x = 108,947,265,544.86
  5. Step 5: Solve for x
    x = 108,947,265,544.86/378,404.64
  6. Step 6: Final answer
    x = 287,912.08

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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.