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Finding the Fourth Proportional to 308,744.47, 462,369.26 and 213,708.39

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Solution

The fourth proportional to 308,744.47, 462,369.26 and 213,708.39 is: 320,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,744.47 : 462,369.26 = 213,708.39 : x
  2. Step 2: Convert to fraction form
    308,744.47/462,369.26 = 213,708.39/x
  3. Step 3: Cross multiply
    308,744.47x = 462,369.26 × 213,708.39
  4. Step 4: Simplify right side
    308,744.47x = 98,812,188,940.48
  5. Step 5: Solve for x
    x = 98,812,188,940.48/308,744.47
  6. Step 6: Final answer
    x = 320,045.21

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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.