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Finding the Fourth Proportional to 645,470.22, 967,319.58 and 408,388.48

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Solution

The fourth proportional to 645,470.22, 967,319.58 and 408,388.48 is: 612,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,470.22 : 967,319.58 = 408,388.48 : x
  2. Step 2: Convert to fraction form
    645,470.22/967,319.58 = 408,388.48/x
  3. Step 3: Cross multiply
    645,470.22x = 967,319.58 × 408,388.48
  4. Step 4: Simplify right side
    645,470.22x = 395,042,172,950.44
  5. Step 5: Solve for x
    x = 395,042,172,950.44/645,470.22
  6. Step 6: Final answer
    x = 612,022.31

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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.