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Finding the Fourth Proportional to 543,538.99, 815,408.72 and 178,821.14

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Solution

The fourth proportional to 543,538.99, 815,408.72 and 178,821.14 is: 268,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,538.99 : 815,408.72 = 178,821.14 : x
  2. Step 2: Convert to fraction form
    543,538.99/815,408.72 = 178,821.14/x
  3. Step 3: Cross multiply
    543,538.99x = 815,408.72 × 178,821.14
  4. Step 4: Simplify right side
    543,538.99x = 145,812,315,380.84
  5. Step 5: Solve for x
    x = 145,812,315,380.84/543,538.99
  6. Step 6: Final answer
    x = 268,264.68

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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.