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Finding the Fourth Proportional to 606,203,401.20, 909,305,101.80 and 412,493,156.70

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Solution

The fourth proportional to 606,203,401.20, 909,305,101.80 and 412,493,156.70 is: 618,739,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,203,401.20 : 909,305,101.80 = 412,493,156.70 : x
  2. Step 2: Convert to fraction form
    606,203,401.20/909,305,101.80 = 412,493,156.70/x
  3. Step 3: Cross multiply
    606,203,401.20x = 909,305,101.80 × 412,493,156.70
  4. Step 4: Simplify right side
    606,203,401.20x = 375,082,131,844,896,832
  5. Step 5: Solve for x
    x = 375,082,131,844,896,832/606,203,401.20
  6. Step 6: Final answer
    x = 618,739,735.05

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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.