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Finding the Fourth Proportional to 308,046.70, 461,960.70 and 213,276.70

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Solution

The fourth proportional to 308,046.70, 461,960.70 and 213,276.70 is: 319,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,046.70 : 461,960.70 = 213,276.70 : x
  2. Step 2: Convert to fraction form
    308,046.70/461,960.70 = 213,276.70/x
  3. Step 3: Cross multiply
    308,046.70x = 461,960.70 × 213,276.70
  4. Step 4: Simplify right side
    308,046.70x = 98,525,453,625.69
  5. Step 5: Solve for x
    x = 98,525,453,625.69/308,046.70
  6. Step 6: Final answer
    x = 319,839.34

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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.