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Finding the Fourth Proportional to 400,572,403.80, 600,858,605.70 and 225,515,738.40

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Solution

The fourth proportional to 400,572,403.80, 600,858,605.70 and 225,515,738.40 is: 338,273,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,572,403.80 : 600,858,605.70 = 225,515,738.40 : x
  2. Step 2: Convert to fraction form
    400,572,403.80/600,858,605.70 = 225,515,738.40/x
  3. Step 3: Cross multiply
    400,572,403.80x = 600,858,605.70 × 225,515,738.40
  4. Step 4: Simplify right side
    400,572,403.80x = 135,503,072,138,429,968
  5. Step 5: Solve for x
    x = 135,503,072,138,429,968/400,572,403.80
  6. Step 6: Final answer
    x = 338,273,607.60

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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.