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Finding the Fourth Proportional to 810,407, 1,215,662.34 and 311,771

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Solution

The fourth proportional to 810,407, 1,215,662.34 and 311,771 is: 467,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,407 : 1,215,662.34 = 311,771 : x
  2. Step 2: Convert to fraction form
    810,407/1,215,662.34 = 311,771/x
  3. Step 3: Cross multiply
    810,407x = 1,215,662.34 × 311,771
  4. Step 4: Simplify right side
    810,407x = 379,008,263,404.14
  5. Step 5: Solve for x
    x = 379,008,263,404.14/810,407
  6. Step 6: Final answer
    x = 467,676.44

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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.