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Finding the Fourth Proportional to 494,185, 682,048.48 and 312,913.76

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Solution

The fourth proportional to 494,185, 682,048.48 and 312,913.76 is: 431,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,185 : 682,048.48 = 312,913.76 : x
  2. Step 2: Convert to fraction form
    494,185/682,048.48 = 312,913.76/x
  3. Step 3: Cross multiply
    494,185x = 682,048.48 × 312,913.76
  4. Step 4: Simplify right side
    494,185x = 213,422,354,379.09
  5. Step 5: Solve for x
    x = 213,422,354,379.09/494,185
  6. Step 6: Final answer
    x = 431,867.33

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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.