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Finding the Fourth Proportional to 323,638.10, 485,379.36 and 165,785.30

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Solution

The fourth proportional to 323,638.10, 485,379.36 and 165,785.30 is: 248,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,638.10 : 485,379.36 = 165,785.30 : x
  2. Step 2: Convert to fraction form
    323,638.10/485,379.36 = 165,785.30/x
  3. Step 3: Cross multiply
    323,638.10x = 485,379.36 × 165,785.30
  4. Step 4: Simplify right side
    323,638.10x = 80,468,762,811.41
  5. Step 5: Solve for x
    x = 80,468,762,811.41/323,638.10
  6. Step 6: Final answer
    x = 248,638.10

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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.