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Finding the Fourth Proportional to 378,809.99, 522,768.83 and 206,739.06

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Solution

The fourth proportional to 378,809.99, 522,768.83 and 206,739.06 is: 285,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,809.99 : 522,768.83 = 206,739.06 : x
  2. Step 2: Convert to fraction form
    378,809.99/522,768.83 = 206,739.06/x
  3. Step 3: Cross multiply
    378,809.99x = 522,768.83 × 206,739.06
  4. Step 4: Simplify right side
    378,809.99x = 108,076,736,511.50
  5. Step 5: Solve for x
    x = 108,076,736,511.50/378,809.99
  6. Step 6: Final answer
    x = 285,305.93

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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.