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Finding the Fourth Proportional to 392,142, 588,300.48 and 142,824

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Solution

The fourth proportional to 392,142, 588,300.48 and 142,824 is: 214,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,142 : 588,300.48 = 142,824 : x
  2. Step 2: Convert to fraction form
    392,142/588,300.48 = 142,824/x
  3. Step 3: Cross multiply
    392,142x = 588,300.48 × 142,824
  4. Step 4: Simplify right side
    392,142x = 84,023,427,755.52
  5. Step 5: Solve for x
    x = 84,023,427,755.52/392,142
  6. Step 6: Final answer
    x = 214,267.86

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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.