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Finding the Fourth Proportional to 542,408.50, 813,748.28 and 382,796.08

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Solution

The fourth proportional to 542,408.50, 813,748.28 and 382,796.08 is: 574,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,408.50 : 813,748.28 = 382,796.08 : x
  2. Step 2: Convert to fraction form
    542,408.50/813,748.28 = 382,796.08/x
  3. Step 3: Cross multiply
    542,408.50x = 813,748.28 × 382,796.08
  4. Step 4: Simplify right side
    542,408.50x = 311,499,647,742.39
  5. Step 5: Solve for x
    x = 311,499,647,742.39/542,408.50
  6. Step 6: Final answer
    x = 574,289.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.