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Finding the Fourth Proportional to 408,845.60, 613,297.20 and 231,437.60

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Solution

The fourth proportional to 408,845.60, 613,297.20 and 231,437.60 is: 347,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,845.60 : 613,297.20 = 231,437.60 : x
  2. Step 2: Convert to fraction form
    408,845.60/613,297.20 = 231,437.60/x
  3. Step 3: Cross multiply
    408,845.60x = 613,297.20 × 231,437.60
  4. Step 4: Simplify right side
    408,845.60x = 141,940,032,054.72
  5. Step 5: Solve for x
    x = 141,940,032,054.72/408,845.60
  6. Step 6: Final answer
    x = 347,172.70

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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.