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Finding the Fourth Proportional to 394,240.80, 591,464.88 and 204,713.76

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Solution

The fourth proportional to 394,240.80, 591,464.88 and 204,713.76 is: 307,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,240.80 : 591,464.88 = 204,713.76 : x
  2. Step 2: Convert to fraction form
    394,240.80/591,464.88 = 204,713.76/x
  3. Step 3: Cross multiply
    394,240.80x = 591,464.88 × 204,713.76
  4. Step 4: Simplify right side
    394,240.80x = 121,080,999,492.75
  5. Step 5: Solve for x
    x = 121,080,999,492.75/394,240.80
  6. Step 6: Final answer
    x = 307,124.48

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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.