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Finding the Fourth Proportional to 511,971.10, 706,520.42 and 285,616.60

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Solution

The fourth proportional to 511,971.10, 706,520.42 and 285,616.60 is: 394,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,971.10 : 706,520.42 = 285,616.60 : x
  2. Step 2: Convert to fraction form
    511,971.10/706,520.42 = 285,616.60/x
  3. Step 3: Cross multiply
    511,971.10x = 706,520.42 × 285,616.60
  4. Step 4: Simplify right side
    511,971.10x = 201,793,956,996.59
  5. Step 5: Solve for x
    x = 201,793,956,996.59/511,971.10
  6. Step 6: Final answer
    x = 394,151.07

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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.