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Finding the Fourth Proportional to 512,969,140.80, 769,379,061.60 and 149,425,588.80

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Solution

The fourth proportional to 512,969,140.80, 769,379,061.60 and 149,425,588.80 is: 224,116,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,969,140.80 : 769,379,061.60 = 149,425,588.80 : x
  2. Step 2: Convert to fraction form
    512,969,140.80/769,379,061.60 = 149,425,588.80/x
  3. Step 3: Cross multiply
    512,969,140.80x = 769,379,061.60 × 149,425,588.80
  4. Step 4: Simplify right side
    512,969,140.80x = 114,964,919,289,971,488
  5. Step 5: Solve for x
    x = 114,964,919,289,971,488/512,969,140.80
  6. Step 6: Final answer
    x = 224,116,638.11

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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.