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Finding the Fourth Proportional to 378,653.83, 522,544.80 and 206,574.52

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Solution

The fourth proportional to 378,653.83, 522,544.80 and 206,574.52 is: 285,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,653.83 : 522,544.80 = 206,574.52 : x
  2. Step 2: Convert to fraction form
    378,653.83/522,544.80 = 206,574.52/x
  3. Step 3: Cross multiply
    378,653.83x = 522,544.80 × 206,574.52
  4. Step 4: Simplify right side
    378,653.83x = 107,944,440,722.06
  5. Step 5: Solve for x
    x = 107,944,440,722.06/378,653.83
  6. Step 6: Final answer
    x = 285,074.21

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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.