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Finding the Fourth Proportional to 378,342.38, 567,515.62 and 112,105.20

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Solution

The fourth proportional to 378,342.38, 567,515.62 and 112,105.20 is: 168,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,342.38 : 567,515.62 = 112,105.20 : x
  2. Step 2: Convert to fraction form
    378,342.38/567,515.62 = 112,105.20/x
  3. Step 3: Cross multiply
    378,342.38x = 567,515.62 × 112,105.20
  4. Step 4: Simplify right side
    378,342.38x = 63,621,453,632.29
  5. Step 5: Solve for x
    x = 63,621,453,632.29/378,342.38
  6. Step 6: Final answer
    x = 168,158.41

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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.