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Finding the Fourth Proportional to 445,213.41, 666,712.28 and 311,467.43

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Solution

The fourth proportional to 445,213.41, 666,712.28 and 311,467.43 is: 466,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,213.41 : 666,712.28 = 311,467.43 : x
  2. Step 2: Convert to fraction form
    445,213.41/666,712.28 = 311,467.43/x
  3. Step 3: Cross multiply
    445,213.41x = 666,712.28 × 311,467.43
  4. Step 4: Simplify right side
    445,213.41x = 207,659,157,846.15
  5. Step 5: Solve for x
    x = 207,659,157,846.15/445,213.41
  6. Step 6: Final answer
    x = 466,426.11

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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.