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Finding the Fourth Proportional to 415,260,661.80, 622,890,992.70 and 200,269,813.80

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Solution

The fourth proportional to 415,260,661.80, 622,890,992.70 and 200,269,813.80 is: 300,404,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,260,661.80 : 622,890,992.70 = 200,269,813.80 : x
  2. Step 2: Convert to fraction form
    415,260,661.80/622,890,992.70 = 200,269,813.80/x
  3. Step 3: Cross multiply
    415,260,661.80x = 622,890,992.70 × 200,269,813.80
  4. Step 4: Simplify right side
    415,260,661.80x = 124,746,263,125,726,176
  5. Step 5: Solve for x
    x = 124,746,263,125,726,176/415,260,661.80
  6. Step 6: Final answer
    x = 300,404,720.70

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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.