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Finding the Fourth Proportional to 515,391.65, 711,216.37 and 285,946.49

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Solution

The fourth proportional to 515,391.65, 711,216.37 and 285,946.49 is: 394,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,391.65 : 711,216.37 = 285,946.49 : x
  2. Step 2: Convert to fraction form
    515,391.65/711,216.37 = 285,946.49/x
  3. Step 3: Cross multiply
    515,391.65x = 711,216.37 × 285,946.49
  4. Step 4: Simplify right side
    515,391.65x = 203,369,820,361.09
  5. Step 5: Solve for x
    x = 203,369,820,361.09/515,391.65
  6. Step 6: Final answer
    x = 394,592.78

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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.