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Finding the Fourth Proportional to 321,468.56, 481,256.91 and 214,587.41

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Solution

The fourth proportional to 321,468.56, 481,256.91 and 214,587.41 is: 321,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,468.56 : 481,256.91 = 214,587.41 : x
  2. Step 2: Convert to fraction form
    321,468.56/481,256.91 = 214,587.41/x
  3. Step 3: Cross multiply
    321,468.56x = 481,256.91 × 214,587.41
  4. Step 4: Simplify right side
    321,468.56x = 103,271,673,991.71
  5. Step 5: Solve for x
    x = 103,271,673,991.71/321,468.56
  6. Step 6: Final answer
    x = 321,249.68

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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.