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Finding the Fourth Proportional to 415,260,657.80, 622,890,986.70 and 200,269,809.80

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Solution

The fourth proportional to 415,260,657.80, 622,890,986.70 and 200,269,809.80 is: 300,404,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,260,657.80 : 622,890,986.70 = 200,269,809.80 : x
  2. Step 2: Convert to fraction form
    415,260,657.80/622,890,986.70 = 200,269,809.80/x
  3. Step 3: Cross multiply
    415,260,657.80x = 622,890,986.70 × 200,269,809.80
  4. Step 4: Simplify right side
    415,260,657.80x = 124,746,259,432,543,344
  5. Step 5: Solve for x
    x = 124,746,259,432,543,344/415,260,657.80
  6. Step 6: Final answer
    x = 300,404,714.70

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1.5x scale

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.