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Finding the Fourth Proportional to 422,512.80, 633,865.20 and 142,058.40

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Solution

The fourth proportional to 422,512.80, 633,865.20 and 142,058.40 is: 213,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,512.80 : 633,865.20 = 142,058.40 : x
  2. Step 2: Convert to fraction form
    422,512.80/633,865.20 = 142,058.40/x
  3. Step 3: Cross multiply
    422,512.80x = 633,865.20 × 142,058.40
  4. Step 4: Simplify right side
    422,512.80x = 90,045,876,127.68
  5. Step 5: Solve for x
    x = 90,045,876,127.68/422,512.80
  6. Step 6: Final answer
    x = 213,119.88

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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.