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Finding the Fourth Proportional to 297,453.46, 446,180.83 and 209,101.78

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Solution

The fourth proportional to 297,453.46, 446,180.83 and 209,101.78 is: 313,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,453.46 : 446,180.83 = 209,101.78 : x
  2. Step 2: Convert to fraction form
    297,453.46/446,180.83 = 209,101.78/x
  3. Step 3: Cross multiply
    297,453.46x = 446,180.83 × 209,101.78
  4. Step 4: Simplify right side
    297,453.46x = 93,297,205,754.88
  5. Step 5: Solve for x
    x = 93,297,205,754.88/297,453.46
  6. Step 6: Final answer
    x = 313,653.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.