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Finding the Fourth Proportional to 393,672.76, 543,081.31 and 232,419.78

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Solution

The fourth proportional to 393,672.76, 543,081.31 and 232,419.78 is: 320,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,672.76 : 543,081.31 = 232,419.78 : x
  2. Step 2: Convert to fraction form
    393,672.76/543,081.31 = 232,419.78/x
  3. Step 3: Cross multiply
    393,672.76x = 543,081.31 × 232,419.78
  4. Step 4: Simplify right side
    393,672.76x = 126,222,838,011.26
  5. Step 5: Solve for x
    x = 126,222,838,011.26/393,672.76
  6. Step 6: Final answer
    x = 320,628.84

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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.