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Finding the Fourth Proportional to 492,954.81, 680,284.23 and 278,094.21

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Solution

The fourth proportional to 492,954.81, 680,284.23 and 278,094.21 is: 383,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,954.81 : 680,284.23 = 278,094.21 : x
  2. Step 2: Convert to fraction form
    492,954.81/680,284.23 = 278,094.21/x
  3. Step 3: Cross multiply
    492,954.81x = 680,284.23 × 278,094.21
  4. Step 4: Simplify right side
    492,954.81x = 189,183,105,517.31
  5. Step 5: Solve for x
    x = 189,183,105,517.31/492,954.81
  6. Step 6: Final answer
    x = 383,773.73

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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.