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Finding the Fourth Proportional to 422,449.90, 633,467.49 and 208,971.16

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Solution

The fourth proportional to 422,449.90, 633,467.49 and 208,971.16 is: 313,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,449.90 : 633,467.49 = 208,971.16 : x
  2. Step 2: Convert to fraction form
    422,449.90/633,467.49 = 208,971.16/x
  3. Step 3: Cross multiply
    422,449.90x = 633,467.49 × 208,971.16
  4. Step 4: Simplify right side
    422,449.90x = 132,376,436,207.59
  5. Step 5: Solve for x
    x = 132,376,436,207.59/422,449.90
  6. Step 6: Final answer
    x = 313,354.17

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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.