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Finding the Fourth Proportional to 392,459.80, 588,732.90 and 143,195.80

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Solution

The fourth proportional to 392,459.80, 588,732.90 and 143,195.80 is: 214,809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,459.80 : 588,732.90 = 143,195.80 : x
  2. Step 2: Convert to fraction form
    392,459.80/588,732.90 = 143,195.80/x
  3. Step 3: Cross multiply
    392,459.80x = 588,732.90 × 143,195.80
  4. Step 4: Simplify right side
    392,459.80x = 84,304,078,601.82
  5. Step 5: Solve for x
    x = 84,304,078,601.82/392,459.80
  6. Step 6: Final answer
    x = 214,809.46

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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.