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Finding the Fourth Proportional to 378,344.44, 522,118.82 and 208,584.64

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Solution

The fourth proportional to 378,344.44, 522,118.82 and 208,584.64 is: 287,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,344.44 : 522,118.82 = 208,584.64 : x
  2. Step 2: Convert to fraction form
    378,344.44/522,118.82 = 208,584.64/x
  3. Step 3: Cross multiply
    378,344.44x = 522,118.82 × 208,584.64
  4. Step 4: Simplify right side
    378,344.44x = 108,905,966,106.93
  5. Step 5: Solve for x
    x = 108,905,966,106.93/378,344.44
  6. Step 6: Final answer
    x = 287,848.73

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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.