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Finding the Fourth Proportional to 321,149.08, 482,165.88 and 163,487.44

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Solution

The fourth proportional to 321,149.08, 482,165.88 and 163,487.44 is: 245,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,149.08 : 482,165.88 = 163,487.44 : x
  2. Step 2: Convert to fraction form
    321,149.08/482,165.88 = 163,487.44/x
  3. Step 3: Cross multiply
    321,149.08x = 482,165.88 × 163,487.44
  4. Step 4: Simplify right side
    321,149.08x = 78,828,065,376.55
  5. Step 5: Solve for x
    x = 78,828,065,376.55/321,149.08
  6. Step 6: Final answer
    x = 245,456.30

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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.