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Finding the Fourth Proportional to 811,540, 1,217,072 and 305,736

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Solution

The fourth proportional to 811,540, 1,217,072 and 305,736 is: 458,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,540 : 1,217,072 = 305,736 : x
  2. Step 2: Convert to fraction form
    811,540/1,217,072 = 305,736/x
  3. Step 3: Cross multiply
    811,540x = 1,217,072 × 305,736
  4. Step 4: Simplify right side
    811,540x = 372,102,724,992
  5. Step 5: Solve for x
    x = 372,102,724,992/811,540
  6. Step 6: Final answer
    x = 458,514.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.