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Finding the Fourth Proportional to 512,497,769.80, 768,672,005.10 and 148,954,217.80

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Solution

The fourth proportional to 512,497,769.80, 768,672,005.10 and 148,954,217.80 is: 223,409,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,497,769.80 : 768,672,005.10 = 148,954,217.80 : x
  2. Step 2: Convert to fraction form
    512,497,769.80/768,672,005.10 = 148,954,217.80/x
  3. Step 3: Cross multiply
    512,497,769.80x = 768,672,005.10 × 148,954,217.80
  4. Step 4: Simplify right side
    512,497,769.80x = 114,496,937,264,428,128
  5. Step 5: Solve for x
    x = 114,496,937,264,428,128/512,497,769.80
  6. Step 6: Final answer
    x = 223,409,630.27

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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.