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Finding the Fourth Proportional to 378,605.52, 522,485.48 and 206,526.39

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Solution

The fourth proportional to 378,605.52, 522,485.48 and 206,526.39 is: 285,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,605.52 : 522,485.48 = 206,526.39 : x
  2. Step 2: Convert to fraction form
    378,605.52/522,485.48 = 206,526.39/x
  3. Step 3: Cross multiply
    378,605.52x = 522,485.48 × 206,526.39
  4. Step 4: Simplify right side
    378,605.52x = 107,907,040,011.82
  5. Step 5: Solve for x
    x = 107,907,040,011.82/378,605.52
  6. Step 6: Final answer
    x = 285,011.80

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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.