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Finding the Fourth Proportional to 384,791.49, 531,004.42 and 212,716.71

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Solution

The fourth proportional to 384,791.49, 531,004.42 and 212,716.71 is: 293,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,791.49 : 531,004.42 = 212,716.71 : x
  2. Step 2: Convert to fraction form
    384,791.49/531,004.42 = 212,716.71/x
  3. Step 3: Cross multiply
    384,791.49x = 531,004.42 × 212,716.71
  4. Step 4: Simplify right side
    384,791.49x = 112,953,513,217.86
  5. Step 5: Solve for x
    x = 112,953,513,217.86/384,791.49
  6. Step 6: Final answer
    x = 293,544.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.