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Finding the Fourth Proportional to 515,190.74, 711,007.05 and 285,821.94

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Solution

The fourth proportional to 515,190.74, 711,007.05 and 285,821.94 is: 394,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,190.74 : 711,007.05 = 285,821.94 : x
  2. Step 2: Convert to fraction form
    515,190.74/711,007.05 = 285,821.94/x
  3. Step 3: Cross multiply
    515,190.74x = 711,007.05 × 285,821.94
  4. Step 4: Simplify right side
    515,190.74x = 203,221,414,384.68
  5. Step 5: Solve for x
    x = 203,221,414,384.68/515,190.74
  6. Step 6: Final answer
    x = 394,458.59

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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.