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Finding the Fourth Proportional to 361,286.40, 542,236.80 and 161,913.60

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Solution

The fourth proportional to 361,286.40, 542,236.80 and 161,913.60 is: 243,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,286.40 : 542,236.80 = 161,913.60 : x
  2. Step 2: Convert to fraction form
    361,286.40/542,236.80 = 161,913.60/x
  3. Step 3: Cross multiply
    361,286.40x = 542,236.80 × 161,913.60
  4. Step 4: Simplify right side
    361,286.40x = 87,795,512,340.48
  5. Step 5: Solve for x
    x = 87,795,512,340.48/361,286.40
  6. Step 6: Final answer
    x = 243,008.07

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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.