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Finding the Fourth Proportional to 354,467.08, 530,451.60 and 221,410

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Solution

The fourth proportional to 354,467.08, 530,451.60 and 221,410 is: 331,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,467.08 : 530,451.60 = 221,410 : x
  2. Step 2: Convert to fraction form
    354,467.08/530,451.60 = 221,410/x
  3. Step 3: Cross multiply
    354,467.08x = 530,451.60 × 221,410
  4. Step 4: Simplify right side
    354,467.08x = 117,447,288,756
  5. Step 5: Solve for x
    x = 117,447,288,756/354,467.08
  6. Step 6: Final answer
    x = 331,334.83

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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.