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Finding the Fourth Proportional to 299,142.34, 448,339.32 and 149,424.44

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Solution

The fourth proportional to 299,142.34, 448,339.32 and 149,424.44 is: 223,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,142.34 : 448,339.32 = 149,424.44 : x
  2. Step 2: Convert to fraction form
    299,142.34/448,339.32 = 149,424.44/x
  3. Step 3: Cross multiply
    299,142.34x = 448,339.32 × 149,424.44
  4. Step 4: Simplify right side
    299,142.34x = 66,992,851,820.98
  5. Step 5: Solve for x
    x = 66,992,851,820.98/299,142.34
  6. Step 6: Final answer
    x = 223,949.75

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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.