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Finding the Fourth Proportional to 392,429.80, 588,687.90 and 143,165.80

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Solution

The fourth proportional to 392,429.80, 588,687.90 and 143,165.80 is: 214,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,429.80 : 588,687.90 = 143,165.80 : x
  2. Step 2: Convert to fraction form
    392,429.80/588,687.90 = 143,165.80/x
  3. Step 3: Cross multiply
    392,429.80x = 588,687.90 × 143,165.80
  4. Step 4: Simplify right side
    392,429.80x = 84,279,974,153.82
  5. Step 5: Solve for x
    x = 84,279,974,153.82/392,429.80
  6. Step 6: Final answer
    x = 214,764.46

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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.