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Finding the Fourth Proportional to 392,433.80, 588,693.90 and 143,169.80

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Solution

The fourth proportional to 392,433.80, 588,693.90 and 143,169.80 is: 214,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,433.80 : 588,693.90 = 143,169.80 : x
  2. Step 2: Convert to fraction form
    392,433.80/588,693.90 = 143,169.80/x
  3. Step 3: Cross multiply
    392,433.80x = 588,693.90 × 143,169.80
  4. Step 4: Simplify right side
    392,433.80x = 84,283,187,924.22
  5. Step 5: Solve for x
    x = 84,283,187,924.22/392,433.80
  6. Step 6: Final answer
    x = 214,770.46

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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.