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Finding the Fourth Proportional to 422,431.45, 633,788.64 and 138,135.11

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Solution

The fourth proportional to 422,431.45, 633,788.64 and 138,135.11 is: 207,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,431.45 : 633,788.64 = 138,135.11 : x
  2. Step 2: Convert to fraction form
    422,431.45/633,788.64 = 138,135.11/x
  3. Step 3: Cross multiply
    422,431.45x = 633,788.64 × 138,135.11
  4. Step 4: Simplify right side
    422,431.45x = 87,548,463,503.15
  5. Step 5: Solve for x
    x = 87,548,463,503.15/422,431.45
  6. Step 6: Final answer
    x = 207,248.92

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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.