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Finding the Fourth Proportional to 220,940.12, 304,800.36 and 149,294

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Solution

The fourth proportional to 220,940.12, 304,800.36 and 149,294 is: 205,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,940.12 : 304,800.36 = 149,294 : x
  2. Step 2: Convert to fraction form
    220,940.12/304,800.36 = 149,294/x
  3. Step 3: Cross multiply
    220,940.12x = 304,800.36 × 149,294
  4. Step 4: Simplify right side
    220,940.12x = 45,504,864,945.84
  5. Step 5: Solve for x
    x = 45,504,864,945.84/220,940.12
  6. Step 6: Final answer
    x = 205,960.17

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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.