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Finding the Fourth Proportional to 644,580.20, 967,016.10 and 378,203.60

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Solution

The fourth proportional to 644,580.20, 967,016.10 and 378,203.60 is: 567,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,580.20 : 967,016.10 = 378,203.60 : x
  2. Step 2: Convert to fraction form
    644,580.20/967,016.10 = 378,203.60/x
  3. Step 3: Cross multiply
    644,580.20x = 967,016.10 × 378,203.60
  4. Step 4: Simplify right side
    644,580.20x = 365,728,970,277.96
  5. Step 5: Solve for x
    x = 365,728,970,277.96/644,580.20
  6. Step 6: Final answer
    x = 567,390.95

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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.