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Finding the Fourth Proportional to 422,388.72, 633,677.64 and 141,898.32

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Solution

The fourth proportional to 422,388.72, 633,677.64 and 141,898.32 is: 212,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,388.72 : 633,677.64 = 141,898.32 : x
  2. Step 2: Convert to fraction form
    422,388.72/633,677.64 = 141,898.32/x
  3. Step 3: Cross multiply
    422,388.72x = 633,677.64 × 141,898.32
  4. Step 4: Simplify right side
    422,388.72x = 89,917,792,537.56
  5. Step 5: Solve for x
    x = 89,917,792,537.56/422,388.72
  6. Step 6: Final answer
    x = 212,879.25

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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.