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Finding the Fourth Proportional to 643,882,664.80, 965,949,968.40 and 275,416,904.80

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Solution

The fourth proportional to 643,882,664.80, 965,949,968.40 and 275,416,904.80 is: 413,179,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,882,664.80 : 965,949,968.40 = 275,416,904.80 : x
  2. Step 2: Convert to fraction form
    643,882,664.80/965,949,968.40 = 275,416,904.80/x
  3. Step 3: Cross multiply
    643,882,664.80x = 965,949,968.40 × 275,416,904.80
  4. Step 4: Simplify right side
    643,882,664.80x = 266,038,950,488,385,824
  5. Step 5: Solve for x
    x = 266,038,950,488,385,824/643,882,664.80
  6. Step 6: Final answer
    x = 413,179,240.62

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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.