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Finding the Fourth Proportional to 378,190.50, 521,913.69 and 208,435.56

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Solution

The fourth proportional to 378,190.50, 521,913.69 and 208,435.56 is: 287,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,190.50 : 521,913.69 = 208,435.56 : x
  2. Step 2: Convert to fraction form
    378,190.50/521,913.69 = 208,435.56/x
  3. Step 3: Cross multiply
    378,190.50x = 521,913.69 × 208,435.56
  4. Step 4: Simplify right side
    378,190.50x = 108,785,372,246.82
  5. Step 5: Solve for x
    x = 108,785,372,246.82/378,190.50
  6. Step 6: Final answer
    x = 287,647.03

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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.