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Finding the Fourth Proportional to 465,217, 641,999.46 and 253,249

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Solution

The fourth proportional to 465,217, 641,999.46 and 253,249 is: 349,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,217 : 641,999.46 = 253,249 : x
  2. Step 2: Convert to fraction form
    465,217/641,999.46 = 253,249/x
  3. Step 3: Cross multiply
    465,217x = 641,999.46 × 253,249
  4. Step 4: Simplify right side
    465,217x = 162,585,721,245.54
  5. Step 5: Solve for x
    x = 162,585,721,245.54/465,217
  6. Step 6: Final answer
    x = 349,483.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.