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Finding the Fourth Proportional to 490,257.86, 676,450.89 and 286,216.34

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Solution

The fourth proportional to 490,257.86, 676,450.89 and 286,216.34 is: 394,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,257.86 : 676,450.89 = 286,216.34 : x
  2. Step 2: Convert to fraction form
    490,257.86/676,450.89 = 286,216.34/x
  3. Step 3: Cross multiply
    490,257.86x = 676,450.89 × 286,216.34
  4. Step 4: Simplify right side
    490,257.86x = 193,611,297,925.54
  5. Step 5: Solve for x
    x = 193,611,297,925.54/490,257.86
  6. Step 6: Final answer
    x = 394,917.27

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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.