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Finding the Fourth Proportional to 411,672.20, 617,185.74 and 162,540.68

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Solution

The fourth proportional to 411,672.20, 617,185.74 and 162,540.68 is: 243,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,672.20 : 617,185.74 = 162,540.68 : x
  2. Step 2: Convert to fraction form
    411,672.20/617,185.74 = 162,540.68/x
  3. Step 3: Cross multiply
    411,672.20x = 617,185.74 × 162,540.68
  4. Step 4: Simplify right side
    411,672.20x = 100,317,789,865.90
  5. Step 5: Solve for x
    x = 100,317,789,865.90/411,672.20
  6. Step 6: Final answer
    x = 243,683.66

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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.