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Finding the Fourth Proportional to 527,481.83, 727,924.05 and 285,770.54

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Solution

The fourth proportional to 527,481.83, 727,924.05 and 285,770.54 is: 394,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,481.83 : 727,924.05 = 285,770.54 : x
  2. Step 2: Convert to fraction form
    527,481.83/727,924.05 = 285,770.54/x
  3. Step 3: Cross multiply
    527,481.83x = 727,924.05 × 285,770.54
  4. Step 4: Simplify right side
    527,481.83x = 208,019,250,667.30
  5. Step 5: Solve for x
    x = 208,019,250,667.30/527,481.83
  6. Step 6: Final answer
    x = 394,362.87

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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.