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Finding the Fourth Proportional to 511,769.72, 706,243.38 and 285,429.80

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Solution

The fourth proportional to 511,769.72, 706,243.38 and 285,429.80 is: 393,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,769.72 : 706,243.38 = 285,429.80 : x
  2. Step 2: Convert to fraction form
    511,769.72/706,243.38 = 285,429.80/x
  3. Step 3: Cross multiply
    511,769.72x = 706,243.38 × 285,429.80
  4. Step 4: Simplify right side
    511,769.72x = 201,582,906,704.72
  5. Step 5: Solve for x
    x = 201,582,906,704.72/511,769.72
  6. Step 6: Final answer
    x = 393,893.77

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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.