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Finding the Fourth Proportional to 456,469.20, 684,120.60 and 331,664.40

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Solution

The fourth proportional to 456,469.20, 684,120.60 and 331,664.40 is: 497,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,469.20 : 684,120.60 = 331,664.40 : x
  2. Step 2: Convert to fraction form
    456,469.20/684,120.60 = 331,664.40/x
  3. Step 3: Cross multiply
    456,469.20x = 684,120.60 × 331,664.40
  4. Step 4: Simplify right side
    456,469.20x = 226,898,448,326.64
  5. Step 5: Solve for x
    x = 226,898,448,326.64/456,469.20
  6. Step 6: Final answer
    x = 497,072.85

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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.