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Finding the Fourth Proportional to 492,919.21, 680,236.28 and 278,063.47

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Solution

The fourth proportional to 492,919.21, 680,236.28 and 278,063.47 is: 383,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,919.21 : 680,236.28 = 278,063.47 : x
  2. Step 2: Convert to fraction form
    492,919.21/680,236.28 = 278,063.47/x
  3. Step 3: Cross multiply
    492,919.21x = 680,236.28 × 278,063.47
  4. Step 4: Simplify right side
    492,919.21x = 189,148,860,436.69
  5. Step 5: Solve for x
    x = 189,148,860,436.69/492,919.21
  6. Step 6: Final answer
    x = 383,731.97

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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.