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Finding the Fourth Proportional to 511,912.40, 767,861.40 and 231,429.20

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Solution

The fourth proportional to 511,912.40, 767,861.40 and 231,429.20 is: 347,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,912.40 : 767,861.40 = 231,429.20 : x
  2. Step 2: Convert to fraction form
    511,912.40/767,861.40 = 231,429.20/x
  3. Step 3: Cross multiply
    511,912.40x = 767,861.40 × 231,429.20
  4. Step 4: Simplify right side
    511,912.40x = 177,705,549,512.88
  5. Step 5: Solve for x
    x = 177,705,549,512.88/511,912.40
  6. Step 6: Final answer
    x = 347,140.54

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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.