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Finding the Fourth Proportional to 511,391.88, 705,744.90 and 285,039

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Solution

The fourth proportional to 511,391.88, 705,744.90 and 285,039 is: 393,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,391.88 : 705,744.90 = 285,039 : x
  2. Step 2: Convert to fraction form
    511,391.88/705,744.90 = 285,039/x
  3. Step 3: Cross multiply
    511,391.88x = 705,744.90 × 285,039
  4. Step 4: Simplify right side
    511,391.88x = 201,164,820,551.10
  5. Step 5: Solve for x
    x = 201,164,820,551.10/511,391.88
  6. Step 6: Final answer
    x = 393,367.26

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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.