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Finding the Fourth Proportional to 393,253.84, 589,893.82 and 108,947.27

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Solution

The fourth proportional to 393,253.84, 589,893.82 and 108,947.27 is: 163,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,253.84 : 589,893.82 = 108,947.27 : x
  2. Step 2: Convert to fraction form
    393,253.84/589,893.82 = 108,947.27/x
  3. Step 3: Cross multiply
    393,253.84x = 589,893.82 × 108,947.27
  4. Step 4: Simplify right side
    393,253.84x = 64,267,321,278.87
  5. Step 5: Solve for x
    x = 64,267,321,278.87/393,253.84
  6. Step 6: Final answer
    x = 163,424.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.