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Finding the Fourth Proportional to 393,661,083.20, 590,491,624.80 and 391,393,601.60

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Solution

The fourth proportional to 393,661,083.20, 590,491,624.80 and 391,393,601.60 is: 587,090,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,661,083.20 : 590,491,624.80 = 391,393,601.60 : x
  2. Step 2: Convert to fraction form
    393,661,083.20/590,491,624.80 = 391,393,601.60/x
  3. Step 3: Cross multiply
    393,661,083.20x = 590,491,624.80 × 391,393,601.60
  4. Step 4: Simplify right side
    393,661,083.20x = 231,114,643,745,107,872
  5. Step 5: Solve for x
    x = 231,114,643,745,107,872/393,661,083.20
  6. Step 6: Final answer
    x = 587,090,402.40

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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.