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Finding the Fourth Proportional to 442,922.40, 664,383.60 and 411,429.60

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Solution

The fourth proportional to 442,922.40, 664,383.60 and 411,429.60 is: 617,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,922.40 : 664,383.60 = 411,429.60 : x
  2. Step 2: Convert to fraction form
    442,922.40/664,383.60 = 411,429.60/x
  3. Step 3: Cross multiply
    442,922.40x = 664,383.60 × 411,429.60
  4. Step 4: Simplify right side
    442,922.40x = 273,347,078,794.56
  5. Step 5: Solve for x
    x = 273,347,078,794.56/442,922.40
  6. Step 6: Final answer
    x = 617,144.40

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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.