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Finding the Fourth Proportional to 664,452.60, 996,022.80 and 264,559.65

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Solution

The fourth proportional to 664,452.60, 996,022.80 and 264,559.65 is: 396,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,452.60 : 996,022.80 = 264,559.65 : x
  2. Step 2: Convert to fraction form
    664,452.60/996,022.80 = 264,559.65/x
  3. Step 3: Cross multiply
    664,452.60x = 996,022.80 × 264,559.65
  4. Step 4: Simplify right side
    664,452.60x = 263,507,443,360.02
  5. Step 5: Solve for x
    x = 263,507,443,360.02/664,452.60
  6. Step 6: Final answer
    x = 396,578.24

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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.