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Finding the Fourth Proportional to 384,954.75, 531,241.00 and 212,884.29

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Solution

The fourth proportional to 384,954.75, 531,241.00 and 212,884.29 is: 293,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,954.75 : 531,241.00 = 212,884.29 : x
  2. Step 2: Convert to fraction form
    384,954.75/531,241.00 = 212,884.29/x
  3. Step 3: Cross multiply
    384,954.75x = 531,241.00 × 212,884.29
  4. Step 4: Simplify right side
    384,954.75x = 113,092,862,039.47
  5. Step 5: Solve for x
    x = 113,092,862,039.47/384,954.75
  6. Step 6: Final answer
    x = 293,782.22

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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.