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Finding the Fourth Proportional to 494,749.97, 682,333.52 and 380,305.63

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Solution

The fourth proportional to 494,749.97, 682,333.52 and 380,305.63 is: 524,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,749.97 : 682,333.52 = 380,305.63 : x
  2. Step 2: Convert to fraction form
    494,749.97/682,333.52 = 380,305.63/x
  3. Step 3: Cross multiply
    494,749.97x = 682,333.52 × 380,305.63
  4. Step 4: Simplify right side
    494,749.97x = 259,495,280,284.33
  5. Step 5: Solve for x
    x = 259,495,280,284.33/494,749.97
  6. Step 6: Final answer
    x = 524,497.81

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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.