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Finding the Fourth Proportional to 511,131.85, 705,366.77 and 281,697.41

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Solution

The fourth proportional to 511,131.85, 705,366.77 and 281,697.41 is: 388,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,131.85 : 705,366.77 = 281,697.41 : x
  2. Step 2: Convert to fraction form
    511,131.85/705,366.77 = 281,697.41/x
  3. Step 3: Cross multiply
    511,131.85x = 705,366.77 × 281,697.41
  4. Step 4: Simplify right side
    511,131.85x = 198,699,992,209.07
  5. Step 5: Solve for x
    x = 198,699,992,209.07/511,131.85
  6. Step 6: Final answer
    x = 388,745.08

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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.