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Finding the Fourth Proportional to 648,469.56, 972,739.80 and 269,428.62

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Solution

The fourth proportional to 648,469.56, 972,739.80 and 269,428.62 is: 404,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,469.56 : 972,739.80 = 269,428.62 : x
  2. Step 2: Convert to fraction form
    648,469.56/972,739.80 = 269,428.62/x
  3. Step 3: Cross multiply
    648,469.56x = 972,739.80 × 269,428.62
  4. Step 4: Simplify right side
    648,469.56x = 262,083,938,958.87
  5. Step 5: Solve for x
    x = 262,083,938,958.87/648,469.56
  6. Step 6: Final answer
    x = 404,157.66

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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.