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Finding the Fourth Proportional to 515,370.50, 711,217.16 and 285,932.06

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Solution

The fourth proportional to 515,370.50, 711,217.16 and 285,932.06 is: 394,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,370.50 : 711,217.16 = 285,932.06 : x
  2. Step 2: Convert to fraction form
    515,370.50/711,217.16 = 285,932.06/x
  3. Step 3: Cross multiply
    515,370.50x = 711,217.16 × 285,932.06
  4. Step 4: Simplify right side
    515,370.50x = 203,359,782,680.40
  5. Step 5: Solve for x
    x = 203,359,782,680.40/515,370.50
  6. Step 6: Final answer
    x = 394,589.49

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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.