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Finding the Fourth Proportional to 377,904.75, 521,508.56 and 208,138.88

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Solution

The fourth proportional to 377,904.75, 521,508.56 and 208,138.88 is: 287,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,904.75 : 521,508.56 = 208,138.88 : x
  2. Step 2: Convert to fraction form
    377,904.75/521,508.56 = 208,138.88/x
  3. Step 3: Cross multiply
    377,904.75x = 521,508.56 × 208,138.88
  4. Step 4: Simplify right side
    377,904.75x = 108,546,203,940.58
  5. Step 5: Solve for x
    x = 108,546,203,940.58/377,904.75
  6. Step 6: Final answer
    x = 287,231.65

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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.