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Finding the Fourth Proportional to 378,228.58, 567,344.70 and 111,994.12

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Solution

The fourth proportional to 378,228.58, 567,344.70 and 111,994.12 is: 167,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,228.58 : 567,344.70 = 111,994.12 : x
  2. Step 2: Convert to fraction form
    378,228.58/567,344.70 = 111,994.12/x
  3. Step 3: Cross multiply
    378,228.58x = 567,344.70 × 111,994.12
  4. Step 4: Simplify right side
    378,228.58x = 63,539,270,413.16
  5. Step 5: Solve for x
    x = 63,539,270,413.16/378,228.58
  6. Step 6: Final answer
    x = 167,991.72

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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.