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Finding the Fourth Proportional to 408,845.60, 613,268.40 and 231,698.60

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Solution

The fourth proportional to 408,845.60, 613,268.40 and 231,698.60 is: 347,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,845.60 : 613,268.40 = 231,698.60 : x
  2. Step 2: Convert to fraction form
    408,845.60/613,268.40 = 231,698.60/x
  3. Step 3: Cross multiply
    408,845.60x = 613,268.40 × 231,698.60
  4. Step 4: Simplify right side
    408,845.60x = 142,093,429,704.24
  5. Step 5: Solve for x
    x = 142,093,429,704.24/408,845.60
  6. Step 6: Final answer
    x = 347,547.90

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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.