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Finding the Fourth Proportional to 299,012.72, 448,519.07 and 205,234.16

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Solution

The fourth proportional to 299,012.72, 448,519.07 and 205,234.16 is: 307,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,012.72 : 448,519.07 = 205,234.16 : x
  2. Step 2: Convert to fraction form
    299,012.72/448,519.07 = 205,234.16/x
  3. Step 3: Cross multiply
    299,012.72x = 448,519.07 × 205,234.16
  4. Step 4: Simplify right side
    299,012.72x = 92,051,432,845.92
  5. Step 5: Solve for x
    x = 92,051,432,845.92/299,012.72
  6. Step 6: Final answer
    x = 307,851.23

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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.