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Finding the Fourth Proportional to 511,739.98, 706,189.86 and 282,297.44

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Solution

The fourth proportional to 511,739.98, 706,189.86 and 282,297.44 is: 389,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,739.98 : 706,189.86 = 282,297.44 : x
  2. Step 2: Convert to fraction form
    511,739.98/706,189.86 = 282,297.44/x
  3. Step 3: Cross multiply
    511,739.98x = 706,189.86 × 282,297.44
  4. Step 4: Simplify right side
    511,739.98x = 199,355,591,397.43
  5. Step 5: Solve for x
    x = 199,355,591,397.43/511,739.98
  6. Step 6: Final answer
    x = 389,564.23

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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.