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Finding the Fourth Proportional to 393,381.43, 542,865.57 and 221,299.51

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Solution

The fourth proportional to 393,381.43, 542,865.57 and 221,299.51 is: 305,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,381.43 : 542,865.57 = 221,299.51 : x
  2. Step 2: Convert to fraction form
    393,381.43/542,865.57 = 221,299.51/x
  3. Step 3: Cross multiply
    393,381.43x = 542,865.57 × 221,299.51
  4. Step 4: Simplify right side
    393,381.43x = 120,135,884,636.87
  5. Step 5: Solve for x
    x = 120,135,884,636.87/393,381.43
  6. Step 6: Final answer
    x = 305,392.87

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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.