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Finding the Fourth Proportional to 393,661,108.60, 590,491,662.90 and 284,255,121.40

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Solution

The fourth proportional to 393,661,108.60, 590,491,662.90 and 284,255,121.40 is: 426,382,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,661,108.60 : 590,491,662.90 = 284,255,121.40 : x
  2. Step 2: Convert to fraction form
    393,661,108.60/590,491,662.90 = 284,255,121.40/x
  3. Step 3: Cross multiply
    393,661,108.60x = 590,491,662.90 × 284,255,121.40
  4. Step 4: Simplify right side
    393,661,108.60x = 167,850,279,323,327,360
  5. Step 5: Solve for x
    x = 167,850,279,323,327,360/393,661,108.60
  6. Step 6: Final answer
    x = 426,382,682.10

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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.