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Finding the Fourth Proportional to 378,935.73, 522,930.21 and 209,168.64

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Solution

The fourth proportional to 378,935.73, 522,930.21 and 209,168.64 is: 288,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,935.73 : 522,930.21 = 209,168.64 : x
  2. Step 2: Convert to fraction form
    378,935.73/522,930.21 = 209,168.64/x
  3. Step 3: Cross multiply
    378,935.73x = 522,930.21 × 209,168.64
  4. Step 4: Simplify right side
    378,935.73x = 109,380,600,840.61
  5. Step 5: Solve for x
    x = 109,380,600,840.61/378,935.73
  6. Step 6: Final answer
    x = 288,652.12

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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.