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Finding the Fourth Proportional to 557,494.12, 769,453.92 and 331,095.88

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Solution

The fourth proportional to 557,494.12, 769,453.92 and 331,095.88 is: 456,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,494.12 : 769,453.92 = 331,095.88 : x
  2. Step 2: Convert to fraction form
    557,494.12/769,453.92 = 331,095.88/x
  3. Step 3: Cross multiply
    557,494.12x = 769,453.92 × 331,095.88
  4. Step 4: Simplify right side
    557,494.12x = 254,763,022,761.85
  5. Step 5: Solve for x
    x = 254,763,022,761.85/557,494.12
  6. Step 6: Final answer
    x = 456,978.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.