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Finding the Fourth Proportional to 271,418.76, 407,009.34 and 111,384.90

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Solution

The fourth proportional to 271,418.76, 407,009.34 and 111,384.90 is: 167,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,418.76 : 407,009.34 = 111,384.90 : x
  2. Step 2: Convert to fraction form
    271,418.76/407,009.34 = 111,384.90/x
  3. Step 3: Cross multiply
    271,418.76x = 407,009.34 × 111,384.90
  4. Step 4: Simplify right side
    271,418.76x = 45,334,694,634.97
  5. Step 5: Solve for x
    x = 45,334,694,634.97/271,418.76
  6. Step 6: Final answer
    x = 167,028.60

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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.