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Finding the Fourth Proportional to 499,481.76, 689,051.05 and 327,353.92

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Solution

The fourth proportional to 499,481.76, 689,051.05 and 327,353.92 is: 451,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,481.76 : 689,051.05 = 327,353.92 : x
  2. Step 2: Convert to fraction form
    499,481.76/689,051.05 = 327,353.92/x
  3. Step 3: Cross multiply
    499,481.76x = 689,051.05 × 327,353.92
  4. Step 4: Simplify right side
    499,481.76x = 225,563,562,297.62
  5. Step 5: Solve for x
    x = 225,563,562,297.62/499,481.76
  6. Step 6: Final answer
    x = 451,595.19

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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.