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Finding the Fourth Proportional to 443,114.20, 664,217.70 and 218,128.60

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Solution

The fourth proportional to 443,114.20, 664,217.70 and 218,128.60 is: 326,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,114.20 : 664,217.70 = 218,128.60 : x
  2. Step 2: Convert to fraction form
    443,114.20/664,217.70 = 218,128.60/x
  3. Step 3: Cross multiply
    443,114.20x = 664,217.70 × 218,128.60
  4. Step 4: Simplify right side
    443,114.20x = 144,884,876,996.22
  5. Step 5: Solve for x
    x = 144,884,876,996.22/443,114.20
  6. Step 6: Final answer
    x = 326,969.61

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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.