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Finding the Fourth Proportional to 313,930.64, 470,845.46 and 86,173.12

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Solution

The fourth proportional to 313,930.64, 470,845.46 and 86,173.12 is: 129,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,930.64 : 470,845.46 = 86,173.12 : x
  2. Step 2: Convert to fraction form
    313,930.64/470,845.46 = 86,173.12/x
  3. Step 3: Cross multiply
    313,930.64x = 470,845.46 × 86,173.12
  4. Step 4: Simplify right side
    313,930.64x = 40,574,219,996.80
  5. Step 5: Solve for x
    x = 40,574,219,996.80/313,930.64
  6. Step 6: Final answer
    x = 129,245.81

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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.