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Finding the Fourth Proportional to 391,493.84, 540,243.42 and 221,729.18

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Solution

The fourth proportional to 391,493.84, 540,243.42 and 221,729.18 is: 305,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,493.84 : 540,243.42 = 221,729.18 : x
  2. Step 2: Convert to fraction form
    391,493.84/540,243.42 = 221,729.18/x
  3. Step 3: Cross multiply
    391,493.84x = 540,243.42 × 221,729.18
  4. Step 4: Simplify right side
    391,493.84x = 119,787,730,517.00
  5. Step 5: Solve for x
    x = 119,787,730,517.00/391,493.84
  6. Step 6: Final answer
    x = 305,976.03

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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.