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Finding the Fourth Proportional to 300,804.42, 451,263.56 and 120,903.84

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Solution

The fourth proportional to 300,804.42, 451,263.56 and 120,903.84 is: 181,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,804.42 : 451,263.56 = 120,903.84 : x
  2. Step 2: Convert to fraction form
    300,804.42/451,263.56 = 120,903.84/x
  3. Step 3: Cross multiply
    300,804.42x = 451,263.56 × 120,903.84
  4. Step 4: Simplify right side
    300,804.42x = 54,559,496,651.55
  5. Step 5: Solve for x
    x = 54,559,496,651.55/300,804.42
  6. Step 6: Final answer
    x = 181,378.64

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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.