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Finding the Fourth Proportional to 301,315.70, 451,976.19 and 76,676.30

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Solution

The fourth proportional to 301,315.70, 451,976.19 and 76,676.30 is: 115,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,315.70 : 451,976.19 = 76,676.30 : x
  2. Step 2: Convert to fraction form
    301,315.70/451,976.19 = 76,676.30/x
  3. Step 3: Cross multiply
    301,315.70x = 451,976.19 × 76,676.30
  4. Step 4: Simplify right side
    301,315.70x = 34,655,861,937.30
  5. Step 5: Solve for x
    x = 34,655,861,937.30/301,315.70
  6. Step 6: Final answer
    x = 115,015.12

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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.