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Finding the Fourth Proportional to 393,077.80, 590,054.10 and 215,930.80

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Solution

The fourth proportional to 393,077.80, 590,054.10 and 215,930.80 is: 324,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,077.80 : 590,054.10 = 215,930.80 : x
  2. Step 2: Convert to fraction form
    393,077.80/590,054.10 = 215,930.80/x
  3. Step 3: Cross multiply
    393,077.80x = 590,054.10 × 215,930.80
  4. Step 4: Simplify right side
    393,077.80x = 127,410,853,856.28
  5. Step 5: Solve for x
    x = 127,410,853,856.28/393,077.80
  6. Step 6: Final answer
    x = 324,136.48

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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.