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Finding the Fourth Proportional to 381,928.64, 527,076.48 and 261,322.88

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Solution

The fourth proportional to 381,928.64, 527,076.48 and 261,322.88 is: 360,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,928.64 : 527,076.48 = 261,322.88 : x
  2. Step 2: Convert to fraction form
    381,928.64/527,076.48 = 261,322.88/x
  3. Step 3: Cross multiply
    381,928.64x = 527,076.48 × 261,322.88
  4. Step 4: Simplify right side
    381,928.64x = 137,737,143,733.86
  5. Step 5: Solve for x
    x = 137,737,143,733.86/381,928.64
  6. Step 6: Final answer
    x = 360,635.81

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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.