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Finding the Fourth Proportional to 493,757.76, 680,727.12 and 370,729.44

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Solution

The fourth proportional to 493,757.76, 680,727.12 and 370,729.44 is: 511,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,757.76 : 680,727.12 = 370,729.44 : x
  2. Step 2: Convert to fraction form
    493,757.76/680,727.12 = 370,729.44/x
  3. Step 3: Cross multiply
    493,757.76x = 680,727.12 × 370,729.44
  4. Step 4: Simplify right side
    493,757.76x = 252,365,583,990.41
  5. Step 5: Solve for x
    x = 252,365,583,990.41/493,757.76
  6. Step 6: Final answer
    x = 511,112.14

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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.