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Finding the Fourth Proportional to 381,015.36, 571,544.64 and 114,812.64

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Solution

The fourth proportional to 381,015.36, 571,544.64 and 114,812.64 is: 172,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,015.36 : 571,544.64 = 114,812.64 : x
  2. Step 2: Convert to fraction form
    381,015.36/571,544.64 = 114,812.64/x
  3. Step 3: Cross multiply
    381,015.36x = 571,544.64 × 114,812.64
  4. Step 4: Simplify right side
    381,015.36x = 65,620,548,996.25
  5. Step 5: Solve for x
    x = 65,620,548,996.25/381,015.36
  6. Step 6: Final answer
    x = 172,225.47

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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.