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Finding the Fourth Proportional to 285,768.40, 428,670.40 and 75,406.56

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Solution

The fourth proportional to 285,768.40, 428,670.40 and 75,406.56 is: 113,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,768.40 : 428,670.40 = 75,406.56 : x
  2. Step 2: Convert to fraction form
    285,768.40/428,670.40 = 75,406.56/x
  3. Step 3: Cross multiply
    285,768.40x = 428,670.40 × 75,406.56
  4. Step 4: Simplify right side
    285,768.40x = 32,324,560,237.82
  5. Step 5: Solve for x
    x = 32,324,560,237.82/285,768.40
  6. Step 6: Final answer
    x = 113,114.54

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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.