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Finding the Fourth Proportional to 456,078.42, 684,229.11 and 321,405.21

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Solution

The fourth proportional to 456,078.42, 684,229.11 and 321,405.21 is: 482,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,078.42 : 684,229.11 = 321,405.21 : x
  2. Step 2: Convert to fraction form
    456,078.42/684,229.11 = 321,405.21/x
  3. Step 3: Cross multiply
    456,078.42x = 684,229.11 × 321,405.21
  4. Step 4: Simplify right side
    456,078.42x = 219,914,800,787.66
  5. Step 5: Solve for x
    x = 219,914,800,787.66/456,078.42
  6. Step 6: Final answer
    x = 482,186.38

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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.