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Finding the Fourth Proportional to 299,195.48, 412,929.81 and 190,310.42

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Solution

The fourth proportional to 299,195.48, 412,929.81 and 190,310.42 is: 262,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,195.48 : 412,929.81 = 190,310.42 : x
  2. Step 2: Convert to fraction form
    299,195.48/412,929.81 = 190,310.42/x
  3. Step 3: Cross multiply
    299,195.48x = 412,929.81 × 190,310.42
  4. Step 4: Simplify right side
    299,195.48x = 78,584,843,506.97
  5. Step 5: Solve for x
    x = 78,584,843,506.97/299,195.48
  6. Step 6: Final answer
    x = 262,653.85

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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.