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Finding the Fourth Proportional to 542,608.20, 813,453.03 and 205,463.01

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Solution

The fourth proportional to 542,608.20, 813,453.03 and 205,463.01 is: 308,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,608.20 : 813,453.03 = 205,463.01 : x
  2. Step 2: Convert to fraction form
    542,608.20/813,453.03 = 205,463.01/x
  3. Step 3: Cross multiply
    542,608.20x = 813,453.03 × 205,463.01
  4. Step 4: Simplify right side
    542,608.20x = 167,134,511,087.87
  5. Step 5: Solve for x
    x = 167,134,511,087.87/542,608.20
  6. Step 6: Final answer
    x = 308,020.61

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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.