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Finding the Fourth Proportional to 419,765,448.70, 629,625,467.88 and 128,633,416.60

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Solution

The fourth proportional to 419,765,448.70, 629,625,467.88 and 128,633,416.60 is: 192,943,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,765,448.70 : 629,625,467.88 = 128,633,416.60 : x
  2. Step 2: Convert to fraction form
    419,765,448.70/629,625,467.88 = 128,633,416.60/x
  3. Step 3: Cross multiply
    419,765,448.70x = 629,625,467.88 × 128,633,416.60
  4. Step 4: Simplify right side
    419,765,448.70x = 80,990,875,111,777,952
  5. Step 5: Solve for x
    x = 80,990,875,111,777,952/419,765,448.70
  6. Step 6: Final answer
    x = 192,943,167.10

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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.