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Finding the Fourth Proportional to 515,419.72, 711,318.17 and 286,020.43

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Solution

The fourth proportional to 515,419.72, 711,318.17 and 286,020.43 is: 394,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,419.72 : 711,318.17 = 286,020.43 : x
  2. Step 2: Convert to fraction form
    515,419.72/711,318.17 = 286,020.43/x
  3. Step 3: Cross multiply
    515,419.72x = 711,318.17 × 286,020.43
  4. Step 4: Simplify right side
    515,419.72x = 203,451,527,786.97
  5. Step 5: Solve for x
    x = 203,451,527,786.97/515,419.72
  6. Step 6: Final answer
    x = 394,729.81

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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.