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Finding the Fourth Proportional to 515,227.64, 711,016.73 and 285,768.98

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Solution

The fourth proportional to 515,227.64, 711,016.73 and 285,768.98 is: 394,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,227.64 : 711,016.73 = 285,768.98 : x
  2. Step 2: Convert to fraction form
    515,227.64/711,016.73 = 285,768.98/x
  3. Step 3: Cross multiply
    515,227.64x = 711,016.73 × 285,768.98
  4. Step 4: Simplify right side
    515,227.64x = 203,186,520,711.11
  5. Step 5: Solve for x
    x = 203,186,520,711.11/515,227.64
  6. Step 6: Final answer
    x = 394,362.62

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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.