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Finding the Fourth Proportional to 384,955.25, 531,241.69 and 212,884.79

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Solution

The fourth proportional to 384,955.25, 531,241.69 and 212,884.79 is: 293,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,955.25 : 531,241.69 = 212,884.79 : x
  2. Step 2: Convert to fraction form
    384,955.25/531,241.69 = 212,884.79/x
  3. Step 3: Cross multiply
    384,955.25x = 531,241.69 × 212,884.79
  4. Step 4: Simplify right side
    384,955.25x = 113,093,275,614.90
  5. Step 5: Solve for x
    x = 113,093,275,614.90/384,955.25
  6. Step 6: Final answer
    x = 293,782.92

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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.