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Finding the Fourth Proportional to 665,343,163.90, 998,014,745.85 and 493,156,279.90

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Solution

The fourth proportional to 665,343,163.90, 998,014,745.85 and 493,156,279.90 is: 739,734,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,343,163.90 : 998,014,745.85 = 493,156,279.90 : x
  2. Step 2: Convert to fraction form
    665,343,163.90/998,014,745.85 = 493,156,279.90/x
  3. Step 3: Cross multiply
    665,343,163.90x = 998,014,745.85 × 493,156,279.90
  4. Step 4: Simplify right side
    665,343,163.90x = 492,177,239,348,729,920
  5. Step 5: Solve for x
    x = 492,177,239,348,729,920/665,343,163.90
  6. Step 6: Final answer
    x = 739,734,419.85

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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.