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Finding the Fourth Proportional to 313,961.80, 470,942.70 and 311,009.35

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Solution

The fourth proportional to 313,961.80, 470,942.70 and 311,009.35 is: 466,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,961.80 : 470,942.70 = 311,009.35 : x
  2. Step 2: Convert to fraction form
    313,961.80/470,942.70 = 311,009.35/x
  3. Step 3: Cross multiply
    313,961.80x = 470,942.70 × 311,009.35
  4. Step 4: Simplify right side
    313,961.80x = 146,467,583,014.25
  5. Step 5: Solve for x
    x = 146,467,583,014.25/313,961.80
  6. Step 6: Final answer
    x = 466,514.03

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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.