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Finding the Fourth Proportional to 492,893.14, 680,213.21 and 278,033.15

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Solution

The fourth proportional to 492,893.14, 680,213.21 and 278,033.15 is: 383,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,893.14 : 680,213.21 = 278,033.15 : x
  2. Step 2: Convert to fraction form
    492,893.14/680,213.21 = 278,033.15/x
  3. Step 3: Cross multiply
    492,893.14x = 680,213.21 × 278,033.15
  4. Step 4: Simplify right side
    492,893.14x = 189,121,821,447.91
  5. Step 5: Solve for x
    x = 189,121,821,447.91/492,893.14
  6. Step 6: Final answer
    x = 383,697.41

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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.