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Finding the Fourth Proportional to 411,433.20, 617,149.80 and 201,481.20

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Solution

The fourth proportional to 411,433.20, 617,149.80 and 201,481.20 is: 302,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,433.20 : 617,149.80 = 201,481.20 : x
  2. Step 2: Convert to fraction form
    411,433.20/617,149.80 = 201,481.20/x
  3. Step 3: Cross multiply
    411,433.20x = 617,149.80 × 201,481.20
  4. Step 4: Simplify right side
    411,433.20x = 124,344,082,283.76
  5. Step 5: Solve for x
    x = 124,344,082,283.76/411,433.20
  6. Step 6: Final answer
    x = 302,221.80

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