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Finding the Fourth Proportional to 321,147.08, 482,162.88 and 163,485.44

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Solution

The fourth proportional to 321,147.08, 482,162.88 and 163,485.44 is: 245,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,147.08 : 482,162.88 = 163,485.44 : x
  2. Step 2: Convert to fraction form
    321,147.08/482,162.88 = 163,485.44/x
  3. Step 3: Cross multiply
    321,147.08x = 482,162.88 × 163,485.44
  4. Step 4: Simplify right side
    321,147.08x = 78,826,610,588.47
  5. Step 5: Solve for x
    x = 78,826,610,588.47/321,147.08
  6. Step 6: Final answer
    x = 245,453.30

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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.