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Finding the Fourth Proportional to 378,284.58, 522,026.31 and 206,204.46

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Solution

The fourth proportional to 378,284.58, 522,026.31 and 206,204.46 is: 284,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,284.58 : 522,026.31 = 206,204.46 : x
  2. Step 2: Convert to fraction form
    378,284.58/522,026.31 = 206,204.46/x
  3. Step 3: Cross multiply
    378,284.58x = 522,026.31 × 206,204.46
  4. Step 4: Simplify right side
    378,284.58x = 107,644,153,359.34
  5. Step 5: Solve for x
    x = 107,644,153,359.34/378,284.58
  6. Step 6: Final answer
    x = 284,558.66

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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.