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Finding the Fourth Proportional to 511,082.46, 765,776.22 and 310,797

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Solution

The fourth proportional to 511,082.46, 765,776.22 and 310,797 is: 465,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,082.46 : 765,776.22 = 310,797 : x
  2. Step 2: Convert to fraction form
    511,082.46/765,776.22 = 310,797/x
  3. Step 3: Cross multiply
    511,082.46x = 765,776.22 × 310,797
  4. Step 4: Simplify right side
    511,082.46x = 238,000,951,847.34
  5. Step 5: Solve for x
    x = 238,000,951,847.34/511,082.46
  6. Step 6: Final answer
    x = 465,680.14

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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.