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Finding the Fourth Proportional to 645,467.22, 967,315.08 and 408,385.48

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Solution

The fourth proportional to 645,467.22, 967,315.08 and 408,385.48 is: 612,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,467.22 : 967,315.08 = 408,385.48 : x
  2. Step 2: Convert to fraction form
    645,467.22/967,315.08 = 408,385.48/x
  3. Step 3: Cross multiply
    645,467.22x = 967,315.08 × 408,385.48
  4. Step 4: Simplify right side
    645,467.22x = 395,037,433,257.04
  5. Step 5: Solve for x
    x = 395,037,433,257.04/645,467.22
  6. Step 6: Final answer
    x = 612,017.81

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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.