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Finding the Fourth Proportional to 378,068.28, 567,213.12 and 111,835.88

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Solution

The fourth proportional to 378,068.28, 567,213.12 and 111,835.88 is: 167,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,068.28 : 567,213.12 = 111,835.88 : x
  2. Step 2: Convert to fraction form
    378,068.28/567,213.12 = 111,835.88/x
  3. Step 3: Cross multiply
    378,068.28x = 567,213.12 × 111,835.88
  4. Step 4: Simplify right side
    378,068.28x = 63,434,778,422.75
  5. Step 5: Solve for x
    x = 63,434,778,422.75/378,068.28
  6. Step 6: Final answer
    x = 167,786.57

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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.