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Finding the Fourth Proportional to 299,120.76, 412,786.86 and 171,804.60

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Solution

The fourth proportional to 299,120.76, 412,786.86 and 171,804.60 is: 237,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,120.76 : 412,786.86 = 171,804.60 : x
  2. Step 2: Convert to fraction form
    299,120.76/412,786.86 = 171,804.60/x
  3. Step 3: Cross multiply
    299,120.76x = 412,786.86 × 171,804.60
  4. Step 4: Simplify right side
    299,120.76x = 70,918,681,367.56
  5. Step 5: Solve for x
    x = 70,918,681,367.56/299,120.76
  6. Step 6: Final answer
    x = 237,090.47

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1.5x scale

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.