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Finding the Fourth Proportional to 664,214.40, 996,321.60 and 264,916.80

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Solution

The fourth proportional to 664,214.40, 996,321.60 and 264,916.80 is: 397,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,214.40 : 996,321.60 = 264,916.80 : x
  2. Step 2: Convert to fraction form
    664,214.40/996,321.60 = 264,916.80/x
  3. Step 3: Cross multiply
    664,214.40x = 996,321.60 × 264,916.80
  4. Step 4: Simplify right side
    664,214.40x = 263,942,330,042.88
  5. Step 5: Solve for x
    x = 263,942,330,042.88/664,214.40
  6. Step 6: Final answer
    x = 397,375.20

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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.