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Finding the Fourth Proportional to 392,453.80, 588,723.90 and 143,189.80

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Solution

The fourth proportional to 392,453.80, 588,723.90 and 143,189.80 is: 214,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,453.80 : 588,723.90 = 143,189.80 : x
  2. Step 2: Convert to fraction form
    392,453.80/588,723.90 = 143,189.80/x
  3. Step 3: Cross multiply
    392,453.80x = 588,723.90 × 143,189.80
  4. Step 4: Simplify right side
    392,453.80x = 84,299,257,496.22
  5. Step 5: Solve for x
    x = 84,299,257,496.22/392,453.80
  6. Step 6: Final answer
    x = 214,800.46

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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.