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Finding the Fourth Proportional to 411,745.20, 616,840.20 and 211,383.60

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Solution

The fourth proportional to 411,745.20, 616,840.20 and 211,383.60 is: 316,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,745.20 : 616,840.20 = 211,383.60 : x
  2. Step 2: Convert to fraction form
    411,745.20/616,840.20 = 211,383.60/x
  3. Step 3: Cross multiply
    411,745.20x = 616,840.20 × 211,383.60
  4. Step 4: Simplify right side
    411,745.20x = 130,389,902,100.72
  5. Step 5: Solve for x
    x = 130,389,902,100.72/411,745.20
  6. Step 6: Final answer
    x = 316,676.19

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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.