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Finding the Fourth Proportional to 422,700.48, 633,653.82 and 142,021.44

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Solution

The fourth proportional to 422,700.48, 633,653.82 and 142,021.44 is: 212,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,700.48 : 633,653.82 = 142,021.44 : x
  2. Step 2: Convert to fraction form
    422,700.48/633,653.82 = 142,021.44/x
  3. Step 3: Cross multiply
    422,700.48x = 633,653.82 × 142,021.44
  4. Step 4: Simplify right side
    422,700.48x = 89,992,427,977.90
  5. Step 5: Solve for x
    x = 89,992,427,977.90/422,700.48
  6. Step 6: Final answer
    x = 212,898.81

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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.