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Finding the Fourth Proportional to 492,474.56, 738,449.28 and 255,578.72

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Solution

The fourth proportional to 492,474.56, 738,449.28 and 255,578.72 is: 383,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,474.56 : 738,449.28 = 255,578.72 : x
  2. Step 2: Convert to fraction form
    492,474.56/738,449.28 = 255,578.72/x
  3. Step 3: Cross multiply
    492,474.56x = 738,449.28 × 255,578.72
  4. Step 4: Simplify right side
    492,474.56x = 188,731,921,767.32
  5. Step 5: Solve for x
    x = 188,731,921,767.32/492,474.56
  6. Step 6: Final answer
    x = 383,231.82

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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.