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Finding the Fourth Proportional to 392,461.75, 588,780.38 and 143,143.75

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Solution

The fourth proportional to 392,461.75, 588,780.38 and 143,143.75 is: 214,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,461.75 : 588,780.38 = 143,143.75 : x
  2. Step 2: Convert to fraction form
    392,461.75/588,780.38 = 143,143.75/x
  3. Step 3: Cross multiply
    392,461.75x = 588,780.38 × 143,143.75
  4. Step 4: Simplify right side
    392,461.75x = 84,280,231,519.63
  5. Step 5: Solve for x
    x = 84,280,231,519.63/392,461.75
  6. Step 6: Final answer
    x = 214,747.63

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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.