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Finding the Fourth Proportional to 378,120.50, 521,817.27 and 208,365.56

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Solution

The fourth proportional to 378,120.50, 521,817.27 and 208,365.56 is: 287,550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,120.50 : 521,817.27 = 208,365.56 : x
  2. Step 2: Convert to fraction form
    378,120.50/521,817.27 = 208,365.56/x
  3. Step 3: Cross multiply
    378,120.50x = 521,817.27 × 208,365.56
  4. Step 4: Simplify right side
    378,120.50x = 108,728,747,681.22
  5. Step 5: Solve for x
    x = 108,728,747,681.22/378,120.50
  6. Step 6: Final answer
    x = 287,550.52

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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.