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Finding the Fourth Proportional to 378,133.66, 567,291 and 108,265.56

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Solution

The fourth proportional to 378,133.66, 567,291 and 108,265.56 is: 162,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,133.66 : 567,291 = 108,265.56 : x
  2. Step 2: Convert to fraction form
    378,133.66/567,291 = 108,265.56/x
  3. Step 3: Cross multiply
    378,133.66x = 567,291 × 108,265.56
  4. Step 4: Simplify right side
    378,133.66x = 61,418,077,797.96
  5. Step 5: Solve for x
    x = 61,418,077,797.96/378,133.66
  6. Step 6: Final answer
    x = 162,424.25

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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.