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Finding the Fourth Proportional to 381,796.24, 527,142.40 and 238,620.64

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Solution

The fourth proportional to 381,796.24, 527,142.40 and 238,620.64 is: 329,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,796.24 : 527,142.40 = 238,620.64 : x
  2. Step 2: Convert to fraction form
    381,796.24/527,142.40 = 238,620.64/x
  3. Step 3: Cross multiply
    381,796.24x = 527,142.40 × 238,620.64
  4. Step 4: Simplify right side
    381,796.24x = 125,787,056,859.14
  5. Step 5: Solve for x
    x = 125,787,056,859.14/381,796.24
  6. Step 6: Final answer
    x = 329,461.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.