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Finding the Fourth Proportional to 515,278.86, 711,059.81 and 285,845.28

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Solution

The fourth proportional to 515,278.86, 711,059.81 and 285,845.28 is: 394,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,278.86 : 711,059.81 = 285,845.28 : x
  2. Step 2: Convert to fraction form
    515,278.86/711,059.81 = 285,845.28/x
  3. Step 3: Cross multiply
    515,278.86x = 711,059.81 × 285,845.28
  4. Step 4: Simplify right side
    515,278.86x = 203,253,090,486.20
  5. Step 5: Solve for x
    x = 203,253,090,486.20/515,278.86
  6. Step 6: Final answer
    x = 394,452.61

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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.