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Finding the Fourth Proportional to 422,177.42, 633,331.78 and 141,760.28

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Solution

The fourth proportional to 422,177.42, 633,331.78 and 141,760.28 is: 212,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,177.42 : 633,331.78 = 141,760.28 : x
  2. Step 2: Convert to fraction form
    422,177.42/633,331.78 = 141,760.28/x
  3. Step 3: Cross multiply
    422,177.42x = 633,331.78 × 141,760.28
  4. Step 4: Simplify right side
    422,177.42x = 89,781,291,694.63
  5. Step 5: Solve for x
    x = 89,781,291,694.63/422,177.42
  6. Step 6: Final answer
    x = 212,662.47

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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.