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Finding the Fourth Proportional to 427,318,409.80, 640,977,614.70 and 422,783,446.60

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Solution

The fourth proportional to 427,318,409.80, 640,977,614.70 and 422,783,446.60 is: 634,175,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,318,409.80 : 640,977,614.70 = 422,783,446.60 : x
  2. Step 2: Convert to fraction form
    427,318,409.80/640,977,614.70 = 422,783,446.60/x
  3. Step 3: Cross multiply
    427,318,409.80x = 640,977,614.70 × 422,783,446.60
  4. Step 4: Simplify right side
    427,318,409.80x = 270,994,725,136,312,864
  5. Step 5: Solve for x
    x = 270,994,725,136,312,864/427,318,409.80
  6. Step 6: Final answer
    x = 634,175,169.90

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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.