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Finding the Fourth Proportional to 378,378.36, 567,936.90 and 312,489.72

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Solution

The fourth proportional to 378,378.36, 567,936.90 and 312,489.72 is: 469,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,378.36 : 567,936.90 = 312,489.72 : x
  2. Step 2: Convert to fraction form
    378,378.36/567,936.90 = 312,489.72/x
  3. Step 3: Cross multiply
    378,378.36x = 567,936.90 × 312,489.72
  4. Step 4: Simplify right side
    378,378.36x = 177,474,442,858.67
  5. Step 5: Solve for x
    x = 177,474,442,858.67/378,378.36
  6. Step 6: Final answer
    x = 469,039.62

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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.