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Finding the Fourth Proportional to 378,099.44, 521,800.52 and 208,333.52

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Solution

The fourth proportional to 378,099.44, 521,800.52 and 208,333.52 is: 287,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,099.44 : 521,800.52 = 208,333.52 : x
  2. Step 2: Convert to fraction form
    378,099.44/521,800.52 = 208,333.52/x
  3. Step 3: Cross multiply
    378,099.44x = 521,800.52 × 208,333.52
  4. Step 4: Simplify right side
    378,099.44x = 108,708,539,069.43
  5. Step 5: Solve for x
    x = 108,708,539,069.43/378,099.44
  6. Step 6: Final answer
    x = 287,513.09

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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.