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Finding the Fourth Proportional to 393,976.78, 590,978.13 and 127,739.50

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Solution

The fourth proportional to 393,976.78, 590,978.13 and 127,739.50 is: 191,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,976.78 : 590,978.13 = 127,739.50 : x
  2. Step 2: Convert to fraction form
    393,976.78/590,978.13 = 127,739.50/x
  3. Step 3: Cross multiply
    393,976.78x = 590,978.13 × 127,739.50
  4. Step 4: Simplify right side
    393,976.78x = 75,491,250,837.14
  5. Step 5: Solve for x
    x = 75,491,250,837.14/393,976.78
  6. Step 6: Final answer
    x = 191,613.45

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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.