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Finding the Fourth Proportional to 511,082.54, 765,776.34 and 310,797.08

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Solution

The fourth proportional to 511,082.54, 765,776.34 and 310,797.08 is: 465,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,082.54 : 765,776.34 = 310,797.08 : x
  2. Step 2: Convert to fraction form
    511,082.54/765,776.34 = 310,797.08/x
  3. Step 3: Cross multiply
    511,082.54x = 765,776.34 × 310,797.08
  4. Step 4: Simplify right side
    511,082.54x = 238,001,050,405.09
  5. Step 5: Solve for x
    x = 238,001,050,405.09/511,082.54
  6. Step 6: Final answer
    x = 465,680.26

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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.