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Finding the Fourth Proportional to 378,394.60, 522,160.74 and 208,630.12

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Solution

The fourth proportional to 378,394.60, 522,160.74 and 208,630.12 is: 287,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,394.60 : 522,160.74 = 208,630.12 : x
  2. Step 2: Convert to fraction form
    378,394.60/522,160.74 = 208,630.12/x
  3. Step 3: Cross multiply
    378,394.60x = 522,160.74 × 208,630.12
  4. Step 4: Simplify right side
    378,394.60x = 108,938,457,845.49
  5. Step 5: Solve for x
    x = 108,938,457,845.49/378,394.60
  6. Step 6: Final answer
    x = 287,896.44

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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.