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Finding the Fourth Proportional to 511,687.42, 706,129.32 and 282,239.56

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Solution

The fourth proportional to 511,687.42, 706,129.32 and 282,239.56 is: 389,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,687.42 : 706,129.32 = 282,239.56 : x
  2. Step 2: Convert to fraction form
    511,687.42/706,129.32 = 282,239.56/x
  3. Step 3: Cross multiply
    511,687.42x = 706,129.32 × 282,239.56
  4. Step 4: Simplify right side
    511,687.42x = 199,297,628,579.90
  5. Step 5: Solve for x
    x = 199,297,628,579.90/511,687.42
  6. Step 6: Final answer
    x = 389,490.97

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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.