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Finding the Fourth Proportional to 378,272.88, 522,040.86 and 208,522.80

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Solution

The fourth proportional to 378,272.88, 522,040.86 and 208,522.80 is: 287,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,272.88 : 522,040.86 = 208,522.80 : x
  2. Step 2: Convert to fraction form
    378,272.88/522,040.86 = 208,522.80/x
  3. Step 3: Cross multiply
    378,272.88x = 522,040.86 × 208,522.80
  4. Step 4: Simplify right side
    378,272.88x = 108,857,421,841.61
  5. Step 5: Solve for x
    x = 108,857,421,841.61/378,272.88
  6. Step 6: Final answer
    x = 287,774.85

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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.