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Finding the Fourth Proportional to 645,477.98, 967,331.21 and 408,396.25

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Solution

The fourth proportional to 645,477.98, 967,331.21 and 408,396.25 is: 612,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,477.98 : 967,331.21 = 408,396.25 : x
  2. Step 2: Convert to fraction form
    645,477.98/967,331.21 = 408,396.25/x
  3. Step 3: Cross multiply
    645,477.98x = 967,331.21 × 408,396.25
  4. Step 4: Simplify right side
    645,477.98x = 395,054,434,211.65
  5. Step 5: Solve for x
    x = 395,054,434,211.65/645,477.98
  6. Step 6: Final answer
    x = 612,033.94

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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.