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Finding the Fourth Proportional to 301,310.70, 451,968.69 and 76,671.30

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Solution

The fourth proportional to 301,310.70, 451,968.69 and 76,671.30 is: 115,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,310.70 : 451,968.69 = 76,671.30 : x
  2. Step 2: Convert to fraction form
    301,310.70/451,968.69 = 76,671.30/x
  3. Step 3: Cross multiply
    301,310.70x = 451,968.69 × 76,671.30
  4. Step 4: Simplify right side
    301,310.70x = 34,653,027,021.60
  5. Step 5: Solve for x
    x = 34,653,027,021.60/301,310.70
  6. Step 6: Final answer
    x = 115,007.62

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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.