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Finding the Fourth Proportional to 378,399.72, 522,181.62 and 208,629.48

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Solution

The fourth proportional to 378,399.72, 522,181.62 and 208,629.48 is: 287,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,399.72 : 522,181.62 = 208,629.48 : x
  2. Step 2: Convert to fraction form
    378,399.72/522,181.62 = 208,629.48/x
  3. Step 3: Cross multiply
    378,399.72x = 522,181.62 × 208,629.48
  4. Step 4: Simplify right side
    378,399.72x = 108,942,479,846.16
  5. Step 5: Solve for x
    x = 108,942,479,846.16/378,399.72
  6. Step 6: Final answer
    x = 287,903.17

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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.