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Finding the Fourth Proportional to 378,436.53, 522,215.73 and 208,667.01

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Solution

The fourth proportional to 378,436.53, 522,215.73 and 208,667.01 is: 287,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,436.53 : 522,215.73 = 208,667.01 : x
  2. Step 2: Convert to fraction form
    378,436.53/522,215.73 = 208,667.01/x
  3. Step 3: Cross multiply
    378,436.53x = 522,215.73 × 208,667.01
  4. Step 4: Simplify right side
    378,436.53x = 108,969,194,954.07
  5. Step 5: Solve for x
    x = 108,969,194,954.07/378,436.53
  6. Step 6: Final answer
    x = 287,945.76

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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.