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Finding the Fourth Proportional to 391,827.84, 540,716.22 and 219,744.96

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Solution

The fourth proportional to 391,827.84, 540,716.22 and 219,744.96 is: 303,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,827.84 : 540,716.22 = 219,744.96 : x
  2. Step 2: Convert to fraction form
    391,827.84/540,716.22 = 219,744.96/x
  3. Step 3: Cross multiply
    391,827.84x = 540,716.22 × 219,744.96
  4. Step 4: Simplify right side
    391,827.84x = 118,819,664,135.25
  5. Step 5: Solve for x
    x = 118,819,664,135.25/391,827.84
  6. Step 6: Final answer
    x = 303,244.57

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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.