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Finding the Fourth Proportional to 380,857.44, 571,366.26 and 144,194.88

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Solution

The fourth proportional to 380,857.44, 571,366.26 and 144,194.88 is: 216,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,857.44 : 571,366.26 = 144,194.88 : x
  2. Step 2: Convert to fraction form
    380,857.44/571,366.26 = 144,194.88/x
  3. Step 3: Cross multiply
    380,857.44x = 571,366.26 × 144,194.88
  4. Step 4: Simplify right side
    380,857.44x = 82,388,089,296.75
  5. Step 5: Solve for x
    x = 82,388,089,296.75/380,857.44
  6. Step 6: Final answer
    x = 216,322.65

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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.