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Finding the Fourth Proportional to 411,624.65, 617,433.44 and 321,742.88

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Solution

The fourth proportional to 411,624.65, 617,433.44 and 321,742.88 is: 482,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,624.65 : 617,433.44 = 321,742.88 : x
  2. Step 2: Convert to fraction form
    411,624.65/617,433.44 = 321,742.88/x
  3. Step 3: Cross multiply
    411,624.65x = 617,433.44 × 321,742.88
  4. Step 4: Simplify right side
    411,624.65x = 198,654,814,286.46
  5. Step 5: Solve for x
    x = 198,654,814,286.46/411,624.65
  6. Step 6: Final answer
    x = 482,611.56

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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.