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Finding the Fourth Proportional to 262,238.34, 393,231.69 and 120,039.60

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Solution

The fourth proportional to 262,238.34, 393,231.69 and 120,039.60 is: 180,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,238.34 : 393,231.69 = 120,039.60 : x
  2. Step 2: Convert to fraction form
    262,238.34/393,231.69 = 120,039.60/x
  3. Step 3: Cross multiply
    262,238.34x = 393,231.69 × 120,039.60
  4. Step 4: Simplify right side
    262,238.34x = 47,203,374,774.92
  5. Step 5: Solve for x
    x = 47,203,374,774.92/262,238.34
  6. Step 6: Final answer
    x = 180,001.81

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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.