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Finding the Fourth Proportional to 378,138.66, 521,834.85 and 208,378.86

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Solution

The fourth proportional to 378,138.66, 521,834.85 and 208,378.86 is: 287,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,138.66 : 521,834.85 = 208,378.86 : x
  2. Step 2: Convert to fraction form
    378,138.66/521,834.85 = 208,378.86/x
  3. Step 3: Cross multiply
    378,138.66x = 521,834.85 × 208,378.86
  4. Step 4: Simplify right side
    378,138.66x = 108,739,351,151.27
  5. Step 5: Solve for x
    x = 108,739,351,151.27/378,138.66
  6. Step 6: Final answer
    x = 287,564.76

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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.