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Finding the Fourth Proportional to 454,563.65, 682,011.74 and 211,520.64

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Solution

The fourth proportional to 454,563.65, 682,011.74 and 211,520.64 is: 317,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,563.65 : 682,011.74 = 211,520.64 : x
  2. Step 2: Convert to fraction form
    454,563.65/682,011.74 = 211,520.64/x
  3. Step 3: Cross multiply
    454,563.65x = 682,011.74 × 211,520.64
  4. Step 4: Simplify right side
    454,563.65x = 144,259,555,793.45
  5. Step 5: Solve for x
    x = 144,259,555,793.45/454,563.65
  6. Step 6: Final answer
    x = 317,358.32

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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.