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Finding the Fourth Proportional to 515,274.90, 711,083.63 and 285,847.22

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Solution

The fourth proportional to 515,274.90, 711,083.63 and 285,847.22 is: 394,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,274.90 : 711,083.63 = 285,847.22 : x
  2. Step 2: Convert to fraction form
    515,274.90/711,083.63 = 285,847.22/x
  3. Step 3: Cross multiply
    515,274.90x = 711,083.63 × 285,847.22
  4. Step 4: Simplify right side
    515,274.90x = 203,261,273,838.35
  5. Step 5: Solve for x
    x = 203,261,273,838.35/515,274.90
  6. Step 6: Final answer
    x = 394,471.52

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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.