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Finding the Fourth Proportional to 308,046.80, 462,038.88 and 208,844.48

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Solution

The fourth proportional to 308,046.80, 462,038.88 and 208,844.48 is: 313,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,046.80 : 462,038.88 = 208,844.48 : x
  2. Step 2: Convert to fraction form
    308,046.80/462,038.88 = 208,844.48/x
  3. Step 3: Cross multiply
    308,046.80x = 462,038.88 × 208,844.48
  4. Step 4: Simplify right side
    308,046.80x = 96,494,269,633.38
  5. Step 5: Solve for x
    x = 96,494,269,633.38/308,046.80
  6. Step 6: Final answer
    x = 313,245.49

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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.