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Finding the Fourth Proportional to 378,273.63, 522,001.90 and 206,187.81

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Solution

The fourth proportional to 378,273.63, 522,001.90 and 206,187.81 is: 284,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,273.63 : 522,001.90 = 206,187.81 : x
  2. Step 2: Convert to fraction form
    378,273.63/522,001.90 = 206,187.81/x
  3. Step 3: Cross multiply
    378,273.63x = 522,001.90 × 206,187.81
  4. Step 4: Simplify right side
    378,273.63x = 107,630,430,393.23
  5. Step 5: Solve for x
    x = 107,630,430,393.23/378,273.63
  6. Step 6: Final answer
    x = 284,530.62

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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.