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Finding the Fourth Proportional to 422,006.49, 633,009.87 and 185,351.22

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Solution

The fourth proportional to 422,006.49, 633,009.87 and 185,351.22 is: 278,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,006.49 : 633,009.87 = 185,351.22 : x
  2. Step 2: Convert to fraction form
    422,006.49/633,009.87 = 185,351.22/x
  3. Step 3: Cross multiply
    422,006.49x = 633,009.87 × 185,351.22
  4. Step 4: Simplify right side
    422,006.49x = 117,329,151,676.54
  5. Step 5: Solve for x
    x = 117,329,151,676.54/422,006.49
  6. Step 6: Final answer
    x = 278,026.89

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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.