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Finding the Fourth Proportional to 301,086.20, 451,629.30 and 189,111.80

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Solution

The fourth proportional to 301,086.20, 451,629.30 and 189,111.80 is: 283,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,086.20 : 451,629.30 = 189,111.80 : x
  2. Step 2: Convert to fraction form
    301,086.20/451,629.30 = 189,111.80/x
  3. Step 3: Cross multiply
    301,086.20x = 451,629.30 × 189,111.80
  4. Step 4: Simplify right side
    301,086.20x = 85,408,429,855.74
  5. Step 5: Solve for x
    x = 85,408,429,855.74/301,086.20
  6. Step 6: Final answer
    x = 283,667.70

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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.