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Finding the Fourth Proportional to 393,245.08, 541,435.29 and 357,327.86

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Solution

The fourth proportional to 393,245.08, 541,435.29 and 357,327.86 is: 491,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,245.08 : 541,435.29 = 357,327.86 : x
  2. Step 2: Convert to fraction form
    393,245.08/541,435.29 = 357,327.86/x
  3. Step 3: Cross multiply
    393,245.08x = 541,435.29 × 357,327.86
  4. Step 4: Simplify right side
    393,245.08x = 193,469,909,457.02
  5. Step 5: Solve for x
    x = 193,469,909,457.02/393,245.08
  6. Step 6: Final answer
    x = 491,983.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.