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Finding the Fourth Proportional to 377,800, 521,351.76 and 208,029.76

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Solution

The fourth proportional to 377,800, 521,351.76 and 208,029.76 is: 287,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,800 : 521,351.76 = 208,029.76 : x
  2. Step 2: Convert to fraction form
    377,800/521,351.76 = 208,029.76/x
  3. Step 3: Cross multiply
    377,800x = 521,351.76 × 208,029.76
  4. Step 4: Simplify right side
    377,800x = 108,456,681,508.38
  5. Step 5: Solve for x
    x = 108,456,681,508.38/377,800
  6. Step 6: Final answer
    x = 287,074.33

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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.