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Finding the Fourth Proportional to 511,749.28, 767,244.76 and 245,256

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Solution

The fourth proportional to 511,749.28, 767,244.76 and 245,256 is: 367,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,749.28 : 767,244.76 = 245,256 : x
  2. Step 2: Convert to fraction form
    511,749.28/767,244.76 = 245,256/x
  3. Step 3: Cross multiply
    511,749.28x = 767,244.76 × 245,256
  4. Step 4: Simplify right side
    511,749.28x = 188,171,380,858.56
  5. Step 5: Solve for x
    x = 188,171,380,858.56/511,749.28
  6. Step 6: Final answer
    x = 367,702.29

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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.