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Finding the Fourth Proportional to 399,984.56, 599,976.88 and 276,112.88

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Solution

The fourth proportional to 399,984.56, 599,976.88 and 276,112.88 is: 414,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,984.56 : 599,976.88 = 276,112.88 : x
  2. Step 2: Convert to fraction form
    399,984.56/599,976.88 = 276,112.88/x
  3. Step 3: Cross multiply
    399,984.56x = 599,976.88 × 276,112.88
  4. Step 4: Simplify right side
    399,984.56x = 165,661,344,270.21
  5. Step 5: Solve for x
    x = 165,661,344,270.21/399,984.56
  6. Step 6: Final answer
    x = 414,169.35

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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.