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Finding the Fourth Proportional to 665,343,697.90, 998,015,546.85 and 493,156,813.90

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Solution

The fourth proportional to 665,343,697.90, 998,015,546.85 and 493,156,813.90 is: 739,735,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,343,697.90 : 998,015,546.85 = 493,156,813.90 : x
  2. Step 2: Convert to fraction form
    665,343,697.90/998,015,546.85 = 493,156,813.90/x
  3. Step 3: Cross multiply
    665,343,697.90x = 998,015,546.85 × 493,156,813.90
  4. Step 4: Simplify right side
    665,343,697.90x = 492,178,167,307,212,160
  5. Step 5: Solve for x
    x = 492,178,167,307,212,160/665,343,697.90
  6. Step 6: Final answer
    x = 739,735,220.85

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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.