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Finding the Fourth Proportional to 339,584.40, 509,310.72 and 322,725.60

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Solution

The fourth proportional to 339,584.40, 509,310.72 and 322,725.60 is: 484,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,584.40 : 509,310.72 = 322,725.60 : x
  2. Step 2: Convert to fraction form
    339,584.40/509,310.72 = 322,725.60/x
  3. Step 3: Cross multiply
    339,584.40x = 509,310.72 × 322,725.60
  4. Step 4: Simplify right side
    339,584.40x = 164,367,607,698.43
  5. Step 5: Solve for x
    x = 164,367,607,698.43/339,584.40
  6. Step 6: Final answer
    x = 484,025.79

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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.