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Finding the Fourth Proportional to 427,318,410.80, 640,977,616.20 and 422,783,447.60

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Solution

The fourth proportional to 427,318,410.80, 640,977,616.20 and 422,783,447.60 is: 634,175,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,318,410.80 : 640,977,616.20 = 422,783,447.60 : x
  2. Step 2: Convert to fraction form
    427,318,410.80/640,977,616.20 = 422,783,447.60/x
  3. Step 3: Cross multiply
    427,318,410.80x = 640,977,616.20 × 422,783,447.60
  4. Step 4: Simplify right side
    427,318,410.80x = 270,994,726,411,465,632
  5. Step 5: Solve for x
    x = 270,994,726,411,465,632/427,318,410.80
  6. Step 6: Final answer
    x = 634,175,171.40

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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.