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Finding the Fourth Proportional to 381,400.88, 571,743 and 128,504.24

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Solution

The fourth proportional to 381,400.88, 571,743 and 128,504.24 is: 192,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,400.88 : 571,743 = 128,504.24 : x
  2. Step 2: Convert to fraction form
    381,400.88/571,743 = 128,504.24/x
  3. Step 3: Cross multiply
    381,400.88x = 571,743 × 128,504.24
  4. Step 4: Simplify right side
    381,400.88x = 73,471,399,690.32
  5. Step 5: Solve for x
    x = 73,471,399,690.32/381,400.88
  6. Step 6: Final answer
    x = 192,635.63

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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.