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Finding the Fourth Proportional to 496,458, 685,112.04 and 270,105.12

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Solution

The fourth proportional to 496,458, 685,112.04 and 270,105.12 is: 372,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,458 : 685,112.04 = 270,105.12 : x
  2. Step 2: Convert to fraction form
    496,458/685,112.04 = 270,105.12/x
  3. Step 3: Cross multiply
    496,458x = 685,112.04 × 270,105.12
  4. Step 4: Simplify right side
    496,458x = 185,052,269,777.65
  5. Step 5: Solve for x
    x = 185,052,269,777.65/496,458
  6. Step 6: Final answer
    x = 372,745.07

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1.5x scale

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.