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Finding the Fourth Proportional to 777,078.56, 1,165,311.12 and 377,600.96

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Solution

The fourth proportional to 777,078.56, 1,165,311.12 and 377,600.96 is: 566,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,078.56 : 1,165,311.12 = 377,600.96 : x
  2. Step 2: Convert to fraction form
    777,078.56/1,165,311.12 = 377,600.96/x
  3. Step 3: Cross multiply
    777,078.56x = 1,165,311.12 × 377,600.96
  4. Step 4: Simplify right side
    777,078.56x = 440,022,597,610.68
  5. Step 5: Solve for x
    x = 440,022,597,610.68/777,078.56
  6. Step 6: Final answer
    x = 566,252.40

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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.