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Finding the Fourth Proportional to 422,436.76, 633,694.10 and 138,128.77

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Solution

The fourth proportional to 422,436.76, 633,694.10 and 138,128.77 is: 207,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,436.76 : 633,694.10 = 138,128.77 : x
  2. Step 2: Convert to fraction form
    422,436.76/633,694.10 = 138,128.77/x
  3. Step 3: Cross multiply
    422,436.76x = 633,694.10 × 138,128.77
  4. Step 4: Simplify right side
    422,436.76x = 87,531,384,314.38
  5. Step 5: Solve for x
    x = 87,531,384,314.38/422,436.76
  6. Step 6: Final answer
    x = 207,205.89

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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.