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Finding the Fourth Proportional to 322,917.60, 483,915.60 and 238,015.20

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Solution

The fourth proportional to 322,917.60, 483,915.60 and 238,015.20 is: 356,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,917.60 : 483,915.60 = 238,015.20 : x
  2. Step 2: Convert to fraction form
    322,917.60/483,915.60 = 238,015.20/x
  3. Step 3: Cross multiply
    322,917.60x = 483,915.60 × 238,015.20
  4. Step 4: Simplify right side
    322,917.60x = 115,179,268,317.12
  5. Step 5: Solve for x
    x = 115,179,268,317.12/322,917.60
  6. Step 6: Final answer
    x = 356,683.15

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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.