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Finding the Fourth Proportional to 419,714,816.80, 629,572,225.20 and 343,124,327.20

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Solution

The fourth proportional to 419,714,816.80, 629,572,225.20 and 343,124,327.20 is: 514,686,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,714,816.80 : 629,572,225.20 = 343,124,327.20 : x
  2. Step 2: Convert to fraction form
    419,714,816.80/629,572,225.20 = 343,124,327.20/x
  3. Step 3: Cross multiply
    419,714,816.80x = 629,572,225.20 × 343,124,327.20
  4. Step 4: Simplify right side
    419,714,816.80x = 216,021,546,195,556,896
  5. Step 5: Solve for x
    x = 216,021,546,195,556,896/419,714,816.80
  6. Step 6: Final answer
    x = 514,686,490.80

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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.