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Finding the Fourth Proportional to 543,505.92, 815,310.72 and 211,107.84

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Solution

The fourth proportional to 543,505.92, 815,310.72 and 211,107.84 is: 316,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,505.92 : 815,310.72 = 211,107.84 : x
  2. Step 2: Convert to fraction form
    543,505.92/815,310.72 = 211,107.84/x
  3. Step 3: Cross multiply
    543,505.92x = 815,310.72 × 211,107.84
  4. Step 4: Simplify right side
    543,505.92x = 172,118,485,028.05
  5. Step 5: Solve for x
    x = 172,118,485,028.05/543,505.92
  6. Step 6: Final answer
    x = 316,681.90

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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.