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Finding the Fourth Proportional to 313,505.56, 470,251.86 and 76,849.48

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Solution

The fourth proportional to 313,505.56, 470,251.86 and 76,849.48 is: 115,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,505.56 : 470,251.86 = 76,849.48 : x
  2. Step 2: Convert to fraction form
    313,505.56/470,251.86 = 76,849.48/x
  3. Step 3: Cross multiply
    313,505.56x = 470,251.86 × 76,849.48
  4. Step 4: Simplify right side
    313,505.56x = 36,138,610,910.03
  5. Step 5: Solve for x
    x = 36,138,610,910.03/313,505.56
  6. Step 6: Final answer
    x = 115,272.63

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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.