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Finding the Fourth Proportional to 378,228.32, 567,344.30 and 111,993.87

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Solution

The fourth proportional to 378,228.32, 567,344.30 and 111,993.87 is: 167,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,228.32 : 567,344.30 = 111,993.87 : x
  2. Step 2: Convert to fraction form
    378,228.32/567,344.30 = 111,993.87/x
  3. Step 3: Cross multiply
    378,228.32x = 567,344.30 × 111,993.87
  4. Step 4: Simplify right side
    378,228.32x = 63,539,083,219.47
  5. Step 5: Solve for x
    x = 63,539,083,219.47/378,228.32
  6. Step 6: Final answer
    x = 167,991.34

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1.5x scale

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.