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Finding the Fourth Proportional to 378,436.88, 522,231.72 and 208,670.96

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Solution

The fourth proportional to 378,436.88, 522,231.72 and 208,670.96 is: 287,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,436.88 : 522,231.72 = 208,670.96 : x
  2. Step 2: Convert to fraction form
    378,436.88/522,231.72 = 208,670.96/x
  3. Step 3: Cross multiply
    378,436.88x = 522,231.72 × 208,670.96
  4. Step 4: Simplify right side
    378,436.88x = 108,974,594,354.85
  5. Step 5: Solve for x
    x = 108,974,594,354.85/378,436.88
  6. Step 6: Final answer
    x = 287,959.76

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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.