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Finding the Fourth Proportional to 378,438.46, 567,751.10 and 112,198.97

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Solution

The fourth proportional to 378,438.46, 567,751.10 and 112,198.97 is: 168,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,438.46 : 567,751.10 = 112,198.97 : x
  2. Step 2: Convert to fraction form
    378,438.46/567,751.10 = 112,198.97/x
  3. Step 3: Cross multiply
    378,438.46x = 567,751.10 × 112,198.97
  4. Step 4: Simplify right side
    378,438.46x = 63,701,089,494.75
  5. Step 5: Solve for x
    x = 63,701,089,494.75/378,438.46
  6. Step 6: Final answer
    x = 168,326.15

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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.