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Finding the Fourth Proportional to 381,019.19, 571,455.92 and 191,427.02

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Solution

The fourth proportional to 381,019.19, 571,455.92 and 191,427.02 is: 287,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,019.19 : 571,455.92 = 191,427.02 : x
  2. Step 2: Convert to fraction form
    381,019.19/571,455.92 = 191,427.02/x
  3. Step 3: Cross multiply
    381,019.19x = 571,455.92 × 191,427.02
  4. Step 4: Simplify right side
    381,019.19x = 109,392,100,012.54
  5. Step 5: Solve for x
    x = 109,392,100,012.54/381,019.19
  6. Step 6: Final answer
    x = 287,103.92

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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.