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Finding the Fourth Proportional to 380,597.44, 570,976.32 and 143,934.88

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Solution

The fourth proportional to 380,597.44, 570,976.32 and 143,934.88 is: 215,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,597.44 : 570,976.32 = 143,934.88 : x
  2. Step 2: Convert to fraction form
    380,597.44/570,976.32 = 143,934.88/x
  3. Step 3: Cross multiply
    380,597.44x = 570,976.32 × 143,934.88
  4. Step 4: Simplify right side
    380,597.44x = 82,183,408,102.04
  5. Step 5: Solve for x
    x = 82,183,408,102.04/380,597.44
  6. Step 6: Final answer
    x = 215,932.64

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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.