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Finding the Fourth Proportional to 307,296, 424,185.12 and 206,752.32

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Solution

The fourth proportional to 307,296, 424,185.12 and 206,752.32 is: 285,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,296 : 424,185.12 = 206,752.32 : x
  2. Step 2: Convert to fraction form
    307,296/424,185.12 = 206,752.32/x
  3. Step 3: Cross multiply
    307,296x = 424,185.12 × 206,752.32
  4. Step 4: Simplify right side
    307,296x = 87,701,257,669.48
  5. Step 5: Solve for x
    x = 87,701,257,669.48/307,296
  6. Step 6: Final answer
    x = 285,396.68

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Why These Related Problems?

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