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Finding the Fourth Proportional to 445,208.40, 666,704.80 and 311,462.41

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Solution

The fourth proportional to 445,208.40, 666,704.80 and 311,462.41 is: 466,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,208.40 : 666,704.80 = 311,462.41 : x
  2. Step 2: Convert to fraction form
    445,208.40/666,704.80 = 311,462.41/x
  3. Step 3: Cross multiply
    445,208.40x = 666,704.80 × 311,462.41
  4. Step 4: Simplify right side
    445,208.40x = 207,653,483,766.57
  5. Step 5: Solve for x
    x = 207,653,483,766.57/445,208.40
  6. Step 6: Final answer
    x = 466,418.61

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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.