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Finding the Fourth Proportional to 279,194.94, 418,839.12 and 219,221

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Solution

The fourth proportional to 279,194.94, 418,839.12 and 219,221 is: 328,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,194.94 : 418,839.12 = 219,221 : x
  2. Step 2: Convert to fraction form
    279,194.94/418,839.12 = 219,221/x
  3. Step 3: Cross multiply
    279,194.94x = 418,839.12 × 219,221
  4. Step 4: Simplify right side
    279,194.94x = 91,818,330,725.52
  5. Step 5: Solve for x
    x = 91,818,330,725.52/279,194.94
  6. Step 6: Final answer
    x = 328,868.18

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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.