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Finding the Fourth Proportional to 308,648.40, 462,972.60 and 275,187.30

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Solution

The fourth proportional to 308,648.40, 462,972.60 and 275,187.30 is: 412,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,648.40 : 462,972.60 = 275,187.30 : x
  2. Step 2: Convert to fraction form
    308,648.40/462,972.60 = 275,187.30/x
  3. Step 3: Cross multiply
    308,648.40x = 462,972.60 × 275,187.30
  4. Step 4: Simplify right side
    308,648.40x = 127,404,179,767.98
  5. Step 5: Solve for x
    x = 127,404,179,767.98/308,648.40
  6. Step 6: Final answer
    x = 412,780.95

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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.