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Finding the Fourth Proportional to 393,489, 590,238.77 and 123,608.34

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Solution

The fourth proportional to 393,489, 590,238.77 and 123,608.34 is: 185,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,489 : 590,238.77 = 123,608.34 : x
  2. Step 2: Convert to fraction form
    393,489/590,238.77 = 123,608.34/x
  3. Step 3: Cross multiply
    393,489x = 590,238.77 × 123,608.34
  4. Step 4: Simplify right side
    393,489x = 72,958,433,945.30
  5. Step 5: Solve for x
    x = 72,958,433,945.30/393,489
  6. Step 6: Final answer
    x = 185,414.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.