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Finding the Fourth Proportional to 393,960, 543,666.24 and 215,112

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Solution

The fourth proportional to 393,960, 543,666.24 and 215,112 is: 296,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,960 : 543,666.24 = 215,112 : x
  2. Step 2: Convert to fraction form
    393,960/543,666.24 = 215,112/x
  3. Step 3: Cross multiply
    393,960x = 543,666.24 × 215,112
  4. Step 4: Simplify right side
    393,960x = 116,949,132,218.88
  5. Step 5: Solve for x
    x = 116,949,132,218.88/393,960
  6. Step 6: Final answer
    x = 296,855.35

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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.