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Finding the Fourth Proportional to 542,634.80, 814,243.80 and 227,123.60

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Solution

The fourth proportional to 542,634.80, 814,243.80 and 227,123.60 is: 340,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,634.80 : 814,243.80 = 227,123.60 : x
  2. Step 2: Convert to fraction form
    542,634.80/814,243.80 = 227,123.60/x
  3. Step 3: Cross multiply
    542,634.80x = 814,243.80 × 227,123.60
  4. Step 4: Simplify right side
    542,634.80x = 184,933,983,133.68
  5. Step 5: Solve for x
    x = 184,933,983,133.68/542,634.80
  6. Step 6: Final answer
    x = 340,807.45

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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.