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Finding the Fourth Proportional to 455,296.56, 682,385.40 and 322,214.64

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Solution

The fourth proportional to 455,296.56, 682,385.40 and 322,214.64 is: 482,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,296.56 : 682,385.40 = 322,214.64 : x
  2. Step 2: Convert to fraction form
    455,296.56/682,385.40 = 322,214.64/x
  3. Step 3: Cross multiply
    455,296.56x = 682,385.40 × 322,214.64
  4. Step 4: Simplify right side
    455,296.56x = 219,874,566,002.26
  5. Step 5: Solve for x
    x = 219,874,566,002.26/455,296.56
  6. Step 6: Final answer
    x = 482,926.04

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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.