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Finding the Fourth Proportional to 392,472.75, 588,796.92 and 143,154.75

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Solution

The fourth proportional to 392,472.75, 588,796.92 and 143,154.75 is: 214,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,472.75 : 588,796.92 = 143,154.75 : x
  2. Step 2: Convert to fraction form
    392,472.75/588,796.92 = 143,154.75/x
  3. Step 3: Cross multiply
    392,472.75x = 588,796.92 × 143,154.75
  4. Step 4: Simplify right side
    392,472.75x = 84,289,075,883.37
  5. Step 5: Solve for x
    x = 84,289,075,883.37/392,472.75
  6. Step 6: Final answer
    x = 214,764.15

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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.