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Finding the Fourth Proportional to 378,412.47, 567,620.96 and 112,175.26

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Solution

The fourth proportional to 378,412.47, 567,620.96 and 112,175.26 is: 168,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,412.47 : 567,620.96 = 112,175.26 : x
  2. Step 2: Convert to fraction form
    378,412.47/567,620.96 = 112,175.26/x
  3. Step 3: Cross multiply
    378,412.47x = 567,620.96 × 112,175.26
  4. Step 4: Simplify right side
    378,412.47x = 63,673,028,769.45
  5. Step 5: Solve for x
    x = 63,673,028,769.45/378,412.47
  6. Step 6: Final answer
    x = 168,263.56

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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.