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Finding the Fourth Proportional to 231,858.40, 347,787.60 and 148,914.40

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Solution

The fourth proportional to 231,858.40, 347,787.60 and 148,914.40 is: 223,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,858.40 : 347,787.60 = 148,914.40 : x
  2. Step 2: Convert to fraction form
    231,858.40/347,787.60 = 148,914.40/x
  3. Step 3: Cross multiply
    231,858.40x = 347,787.60 × 148,914.40
  4. Step 4: Simplify right side
    231,858.40x = 51,790,581,781.44
  5. Step 5: Solve for x
    x = 51,790,581,781.44/231,858.40
  6. Step 6: Final answer
    x = 223,371.60

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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.