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Finding the Fourth Proportional to 451,473.70, 677,216.31 and 311,194.66

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Solution

The fourth proportional to 451,473.70, 677,216.31 and 311,194.66 is: 466,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,473.70 : 677,216.31 = 311,194.66 : x
  2. Step 2: Convert to fraction form
    451,473.70/677,216.31 = 311,194.66/x
  3. Step 3: Cross multiply
    451,473.70x = 677,216.31 × 311,194.66
  4. Step 4: Simplify right side
    451,473.70x = 210,746,099,336.91
  5. Step 5: Solve for x
    x = 210,746,099,336.91/451,473.70
  6. Step 6: Final answer
    x = 466,795.96

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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.