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Finding the Fourth Proportional to 323,511.10, 485,266.65 and 164,078.80

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Solution

The fourth proportional to 323,511.10, 485,266.65 and 164,078.80 is: 246,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,511.10 : 485,266.65 = 164,078.80 : x
  2. Step 2: Convert to fraction form
    323,511.10/485,266.65 = 164,078.80/x
  3. Step 3: Cross multiply
    323,511.10x = 485,266.65 × 164,078.80
  4. Step 4: Simplify right side
    323,511.10x = 79,621,969,612.02
  5. Step 5: Solve for x
    x = 79,621,969,612.02/323,511.10
  6. Step 6: Final answer
    x = 246,118.20

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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.