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Finding the Fourth Proportional to 321,658.11, 481,878.13 and 214,719.58

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Solution

The fourth proportional to 321,658.11, 481,878.13 and 214,719.58 is: 321,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,658.11 : 481,878.13 = 214,719.58 : x
  2. Step 2: Convert to fraction form
    321,658.11/481,878.13 = 214,719.58/x
  3. Step 3: Cross multiply
    321,658.11x = 481,878.13 × 214,719.58
  4. Step 4: Simplify right side
    321,658.11x = 103,468,669,549.04
  5. Step 5: Solve for x
    x = 103,468,669,549.04/321,658.11
  6. Step 6: Final answer
    x = 321,672.81

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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.