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Finding the Fourth Proportional to 491,211.44, 677,870.78 and 276,351.75

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Solution

The fourth proportional to 491,211.44, 677,870.78 and 276,351.75 is: 381,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,211.44 : 677,870.78 = 276,351.75 : x
  2. Step 2: Convert to fraction form
    491,211.44/677,870.78 = 276,351.75/x
  3. Step 3: Cross multiply
    491,211.44x = 677,870.78 × 276,351.75
  4. Step 4: Simplify right side
    491,211.44x = 187,330,774,945.11
  5. Step 5: Solve for x
    x = 187,330,774,945.11/491,211.44
  6. Step 6: Final answer
    x = 381,364.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.