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Finding the Fourth Proportional to 493,362.80, 739,720.20 and 193,662.80

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Solution

The fourth proportional to 493,362.80, 739,720.20 and 193,662.80 is: 290,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,362.80 : 739,720.20 = 193,662.80 : x
  2. Step 2: Convert to fraction form
    493,362.80/739,720.20 = 193,662.80/x
  3. Step 3: Cross multiply
    493,362.80x = 739,720.20 × 193,662.80
  4. Step 4: Simplify right side
    493,362.80x = 143,256,285,148.56
  5. Step 5: Solve for x
    x = 143,256,285,148.56/493,362.80
  6. Step 6: Final answer
    x = 290,367.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.