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Finding the Fourth Proportional to 491,604.50, 678,415.32 and 273,811.43

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Solution

The fourth proportional to 491,604.50, 678,415.32 and 273,811.43 is: 377,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,604.50 : 678,415.32 = 273,811.43 : x
  2. Step 2: Convert to fraction form
    491,604.50/678,415.32 = 273,811.43/x
  3. Step 3: Cross multiply
    491,604.50x = 678,415.32 × 273,811.43
  4. Step 4: Simplify right side
    491,604.50x = 185,757,865,511.03
  5. Step 5: Solve for x
    x = 185,757,865,511.03/491,604.50
  6. Step 6: Final answer
    x = 377,860.39

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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.