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Finding the Fourth Proportional to 262,851.40, 394,414.80 and 120,739.60

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Solution

The fourth proportional to 262,851.40, 394,414.80 and 120,739.60 is: 181,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,851.40 : 394,414.80 = 120,739.60 : x
  2. Step 2: Convert to fraction form
    262,851.40/394,414.80 = 120,739.60/x
  3. Step 3: Cross multiply
    262,851.40x = 394,414.80 × 120,739.60
  4. Step 4: Simplify right side
    262,851.40x = 47,621,485,186.08
  5. Step 5: Solve for x
    x = 47,621,485,186.08/262,851.40
  6. Step 6: Final answer
    x = 181,172.65

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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.