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Finding the Fourth Proportional to 511,993.65, 706,568.21 and 279,433.29

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Solution

The fourth proportional to 511,993.65, 706,568.21 and 279,433.29 is: 385,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,993.65 : 706,568.21 = 279,433.29 : x
  2. Step 2: Convert to fraction form
    511,993.65/706,568.21 = 279,433.29/x
  3. Step 3: Cross multiply
    511,993.65x = 706,568.21 × 279,433.29
  4. Step 4: Simplify right side
    511,993.65x = 197,438,678,132.54
  5. Step 5: Solve for x
    x = 197,438,678,132.54/511,993.65
  6. Step 6: Final answer
    x = 385,627.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.