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Finding the Fourth Proportional to 644,918.80, 967,815.60 and 419,730.70

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Solution

The fourth proportional to 644,918.80, 967,815.60 and 419,730.70 is: 629,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,918.80 : 967,815.60 = 419,730.70 : x
  2. Step 2: Convert to fraction form
    644,918.80/967,815.60 = 419,730.70/x
  3. Step 3: Cross multiply
    644,918.80x = 967,815.60 × 419,730.70
  4. Step 4: Simplify right side
    644,918.80x = 406,221,919,258.92
  5. Step 5: Solve for x
    x = 406,221,919,258.92/644,918.80
  6. Step 6: Final answer
    x = 629,880.72

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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.