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Finding the Fourth Proportional to 392,374.52, 541,439.40 and 220,253.06

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Solution

The fourth proportional to 392,374.52, 541,439.40 and 220,253.06 is: 303,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,374.52 : 541,439.40 = 220,253.06 : x
  2. Step 2: Convert to fraction form
    392,374.52/541,439.40 = 220,253.06/x
  3. Step 3: Cross multiply
    392,374.52x = 541,439.40 × 220,253.06
  4. Step 4: Simplify right side
    392,374.52x = 119,253,684,654.56
  5. Step 5: Solve for x
    x = 119,253,684,654.56/392,374.52
  6. Step 6: Final answer
    x = 303,928.21

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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.