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Finding the Fourth Proportional to 419,906,053.60, 629,859,080.40 and 147,276,820.60

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Solution

The fourth proportional to 419,906,053.60, 629,859,080.40 and 147,276,820.60 is: 220,915,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,053.60 : 629,859,080.40 = 147,276,820.60 : x
  2. Step 2: Convert to fraction form
    419,906,053.60/629,859,080.40 = 147,276,820.60/x
  3. Step 3: Cross multiply
    419,906,053.60x = 629,859,080.40 × 147,276,820.60
  4. Step 4: Simplify right side
    419,906,053.60x = 92,763,642,787,351,776
  5. Step 5: Solve for x
    x = 92,763,642,787,351,776/419,906,053.60
  6. Step 6: Final answer
    x = 220,915,230.90

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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.