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Finding the Fourth Proportional to 542,658.56, 813,978.11 and 222,740.96

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Solution

The fourth proportional to 542,658.56, 813,978.11 and 222,740.96 is: 334,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,658.56 : 813,978.11 = 222,740.96 : x
  2. Step 2: Convert to fraction form
    542,658.56/813,978.11 = 222,740.96/x
  3. Step 3: Cross multiply
    542,658.56x = 813,978.11 × 222,740.96
  4. Step 4: Simplify right side
    542,658.56x = 181,306,262,127.35
  5. Step 5: Solve for x
    x = 181,306,262,127.35/542,658.56
  6. Step 6: Final answer
    x = 334,107.44

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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.