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Finding the Fourth Proportional to 542,640.20, 813,849.44 and 205,564.64

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Solution

The fourth proportional to 542,640.20, 813,849.44 and 205,564.64 is: 308,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,640.20 : 813,849.44 = 205,564.64 : x
  2. Step 2: Convert to fraction form
    542,640.20/813,849.44 = 205,564.64/x
  3. Step 3: Cross multiply
    542,640.20x = 813,849.44 × 205,564.64
  4. Step 4: Simplify right side
    542,640.20x = 167,298,667,147.80
  5. Step 5: Solve for x
    x = 167,298,667,147.80/542,640.20
  6. Step 6: Final answer
    x = 308,304.96

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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.