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Finding the Fourth Proportional to 262,901.40, 394,489.80 and 120,789.60

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Solution

The fourth proportional to 262,901.40, 394,489.80 and 120,789.60 is: 181,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,901.40 : 394,489.80 = 120,789.60 : x
  2. Step 2: Convert to fraction form
    262,901.40/394,489.80 = 120,789.60/x
  3. Step 3: Cross multiply
    262,901.40x = 394,489.80 × 120,789.60
  4. Step 4: Simplify right side
    262,901.40x = 47,650,265,146.08
  5. Step 5: Solve for x
    x = 47,650,265,146.08/262,901.40
  6. Step 6: Final answer
    x = 181,247.67

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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.