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Finding the Fourth Proportional to 511,537.35, 705,912.22 and 282,115.86

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Solution

The fourth proportional to 511,537.35, 705,912.22 and 282,115.86 is: 389,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,537.35 : 705,912.22 = 282,115.86 : x
  2. Step 2: Convert to fraction form
    511,537.35/705,912.22 = 282,115.86/x
  3. Step 3: Cross multiply
    511,537.35x = 705,912.22 × 282,115.86
  4. Step 4: Simplify right side
    511,537.35x = 199,149,033,029.81
  5. Step 5: Solve for x
    x = 199,149,033,029.81/511,537.35
  6. Step 6: Final answer
    x = 389,314.75

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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.