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Finding the Fourth Proportional to 512,497,789.80, 768,672,035.10 and 148,954,237.80

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Solution

The fourth proportional to 512,497,789.80, 768,672,035.10 and 148,954,237.80 is: 223,409,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,497,789.80 : 768,672,035.10 = 148,954,237.80 : x
  2. Step 2: Convert to fraction form
    512,497,789.80/768,672,035.10 = 148,954,237.80/x
  3. Step 3: Cross multiply
    512,497,789.80x = 768,672,035.10 × 148,954,237.80
  4. Step 4: Simplify right side
    512,497,789.80x = 114,496,957,106,495,360
  5. Step 5: Solve for x
    x = 114,496,957,106,495,360/512,497,789.80
  6. Step 6: Final answer
    x = 223,409,660.27

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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.