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Finding the Fourth Proportional to 378,416.32, 567,668.40 and 125,719.36

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Solution

The fourth proportional to 378,416.32, 567,668.40 and 125,719.36 is: 188,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,416.32 : 567,668.40 = 125,719.36 : x
  2. Step 2: Convert to fraction form
    378,416.32/567,668.40 = 125,719.36/x
  3. Step 3: Cross multiply
    378,416.32x = 567,668.40 × 125,719.36
  4. Step 4: Simplify right side
    378,416.32x = 71,366,907,940.22
  5. Step 5: Solve for x
    x = 71,366,907,940.22/378,416.32
  6. Step 6: Final answer
    x = 188,593.63

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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.