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Finding the Fourth Proportional to 299,247.75, 412,970.54 and 165,120.39

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Solution

The fourth proportional to 299,247.75, 412,970.54 and 165,120.39 is: 227,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,247.75 : 412,970.54 = 165,120.39 : x
  2. Step 2: Convert to fraction form
    299,247.75/412,970.54 = 165,120.39/x
  3. Step 3: Cross multiply
    299,247.75x = 412,970.54 × 165,120.39
  4. Step 4: Simplify right side
    299,247.75x = 68,189,856,623.31
  5. Step 5: Solve for x
    x = 68,189,856,623.31/299,247.75
  6. Step 6: Final answer
    x = 227,870.91

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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.