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Finding the Fourth Proportional to 810,402, 1,215,654.84 and 311,766

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Solution

The fourth proportional to 810,402, 1,215,654.84 and 311,766 is: 467,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,402 : 1,215,654.84 = 311,766 : x
  2. Step 2: Convert to fraction form
    810,402/1,215,654.84 = 311,766/x
  3. Step 3: Cross multiply
    810,402x = 1,215,654.84 × 311,766
  4. Step 4: Simplify right side
    810,402x = 378,999,846,847.44
  5. Step 5: Solve for x
    x = 378,999,846,847.44/810,402
  6. Step 6: Final answer
    x = 467,668.94

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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.