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Finding the Fourth Proportional to 394,959.10, 592,679.20 and 142,218.44

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Solution

The fourth proportional to 394,959.10, 592,679.20 and 142,218.44 is: 213,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,959.10 : 592,679.20 = 142,218.44 : x
  2. Step 2: Convert to fraction form
    394,959.10/592,679.20 = 142,218.44/x
  3. Step 3: Cross multiply
    394,959.10x = 592,679.20 × 142,218.44
  4. Step 4: Simplify right side
    394,959.10x = 84,289,911,244.45
  5. Step 5: Solve for x
    x = 84,289,911,244.45/394,959.10
  6. Step 6: Final answer
    x = 213,414.28

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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.