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Finding the Fourth Proportional to 515,275.65, 711,084.67 and 285,847.97

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Solution

The fourth proportional to 515,275.65, 711,084.67 and 285,847.97 is: 394,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,275.65 : 711,084.67 = 285,847.97 : x
  2. Step 2: Convert to fraction form
    515,275.65/711,084.67 = 285,847.97/x
  3. Step 3: Cross multiply
    515,275.65x = 711,084.67 × 285,847.97
  4. Step 4: Simplify right side
    515,275.65x = 203,262,105,147.58
  5. Step 5: Solve for x
    x = 203,262,105,147.58/515,275.65
  6. Step 6: Final answer
    x = 394,472.56

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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.