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Finding the Fourth Proportional to 443,237.36, 664,396.16 and 206,385.28

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Solution

The fourth proportional to 443,237.36, 664,396.16 and 206,385.28 is: 309,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,237.36 : 664,396.16 = 206,385.28 : x
  2. Step 2: Convert to fraction form
    443,237.36/664,396.16 = 206,385.28/x
  3. Step 3: Cross multiply
    443,237.36x = 664,396.16 × 206,385.28
  4. Step 4: Simplify right side
    443,237.36x = 137,121,587,512.53
  5. Step 5: Solve for x
    x = 137,121,587,512.53/443,237.36
  6. Step 6: Final answer
    x = 309,363.79

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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.