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Finding the Fourth Proportional to 515,388.12, 711,211.56 and 285,942.96

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Solution

The fourth proportional to 515,388.12, 711,211.56 and 285,942.96 is: 394,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,388.12 : 711,211.56 = 285,942.96 : x
  2. Step 2: Convert to fraction form
    515,388.12/711,211.56 = 285,942.96/x
  3. Step 3: Cross multiply
    515,388.12x = 711,211.56 × 285,942.96
  4. Step 4: Simplify right side
    515,388.12x = 203,365,938,652.62
  5. Step 5: Solve for x
    x = 203,365,938,652.62/515,388.12
  6. Step 6: Final answer
    x = 394,587.94

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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.