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Finding the Fourth Proportional to 419,904,458.40, 629,856,687.60 and 290,476,048.80

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Solution

The fourth proportional to 419,904,458.40, 629,856,687.60 and 290,476,048.80 is: 435,714,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,458.40 : 629,856,687.60 = 290,476,048.80 : x
  2. Step 2: Convert to fraction form
    419,904,458.40/629,856,687.60 = 290,476,048.80/x
  3. Step 3: Cross multiply
    419,904,458.40x = 629,856,687.60 × 290,476,048.80
  4. Step 4: Simplify right side
    419,904,458.40x = 182,958,281,924,303,968
  5. Step 5: Solve for x
    x = 182,958,281,924,303,968/419,904,458.40
  6. Step 6: Final answer
    x = 435,714,073.20

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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.