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Finding the Fourth Proportional to 496,873.44, 685,674.59 and 290,177.37

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Solution

The fourth proportional to 496,873.44, 685,674.59 and 290,177.37 is: 400,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,873.44 : 685,674.59 = 290,177.37 : x
  2. Step 2: Convert to fraction form
    496,873.44/685,674.59 = 290,177.37/x
  3. Step 3: Cross multiply
    496,873.44x = 685,674.59 × 290,177.37
  4. Step 4: Simplify right side
    496,873.44x = 198,967,247,751.14
  5. Step 5: Solve for x
    x = 198,967,247,751.14/496,873.44
  6. Step 6: Final answer
    x = 400,438.49

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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.