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Finding the Fourth Proportional to 378,398.72, 522,180.24 and 208,628.48

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Solution

The fourth proportional to 378,398.72, 522,180.24 and 208,628.48 is: 287,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,398.72 : 522,180.24 = 208,628.48 : x
  2. Step 2: Convert to fraction form
    378,398.72/522,180.24 = 208,628.48/x
  3. Step 3: Cross multiply
    378,398.72x = 522,180.24 × 208,628.48
  4. Step 4: Simplify right side
    378,398.72x = 108,941,669,757.24
  5. Step 5: Solve for x
    x = 108,941,669,757.24/378,398.72
  6. Step 6: Final answer
    x = 287,901.79

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1.5x scale

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.