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Finding the Fourth Proportional to 512,497,782.80, 768,672,024.60 and 148,954,230.80

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Solution

The fourth proportional to 512,497,782.80, 768,672,024.60 and 148,954,230.80 is: 223,409,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,497,782.80 : 768,672,024.60 = 148,954,230.80 : x
  2. Step 2: Convert to fraction form
    512,497,782.80/768,672,024.60 = 148,954,230.80/x
  3. Step 3: Cross multiply
    512,497,782.80x = 768,672,024.60 × 148,954,230.80
  4. Step 4: Simplify right side
    512,497,782.80x = 114,496,950,161,771,696
  5. Step 5: Solve for x
    x = 114,496,950,161,771,696/512,497,782.80
  6. Step 6: Final answer
    x = 223,409,649.77

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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.