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Finding the Fourth Proportional to 408,336, 612,628.20 and 208,796.46

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Solution

The fourth proportional to 408,336, 612,628.20 and 208,796.46 is: 313,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,336 : 612,628.20 = 208,796.46 : x
  2. Step 2: Convert to fraction form
    408,336/612,628.20 = 208,796.46/x
  3. Step 3: Cross multiply
    408,336x = 612,628.20 × 208,796.46
  4. Step 4: Simplify right side
    408,336x = 127,914,599,456.17
  5. Step 5: Solve for x
    x = 127,914,599,456.17/408,336
  6. Step 6: Final answer
    x = 313,258.20

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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.