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Finding the Fourth Proportional to 443,296.88, 664,485.72 and 206,444.72

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Solution

The fourth proportional to 443,296.88, 664,485.72 and 206,444.72 is: 309,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,296.88 : 664,485.72 = 206,444.72 : x
  2. Step 2: Convert to fraction form
    443,296.88/664,485.72 = 206,444.72/x
  3. Step 3: Cross multiply
    443,296.88x = 664,485.72 × 206,444.72
  4. Step 4: Simplify right side
    443,296.88x = 137,179,568,409.40
  5. Step 5: Solve for x
    x = 137,179,568,409.40/443,296.88
  6. Step 6: Final answer
    x = 309,453.04

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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.