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Finding the Fourth Proportional to 490,217.46, 676,395.16 and 286,175.78

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Solution

The fourth proportional to 490,217.46, 676,395.16 and 286,175.78 is: 394,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,217.46 : 676,395.16 = 286,175.78 : x
  2. Step 2: Convert to fraction form
    490,217.46/676,395.16 = 286,175.78/x
  3. Step 3: Cross multiply
    490,217.46x = 676,395.16 × 286,175.78
  4. Step 4: Simplify right side
    490,217.46x = 193,567,912,501.23
  5. Step 5: Solve for x
    x = 193,567,912,501.23/490,217.46
  6. Step 6: Final answer
    x = 394,861.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.