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Finding the Fourth Proportional to 381,406.64, 526,322.82 and 228,451.28

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Solution

The fourth proportional to 381,406.64, 526,322.82 and 228,451.28 is: 315,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,406.64 : 526,322.82 = 228,451.28 : x
  2. Step 2: Convert to fraction form
    381,406.64/526,322.82 = 228,451.28/x
  3. Step 3: Cross multiply
    381,406.64x = 526,322.82 × 228,451.28
  4. Step 4: Simplify right side
    381,406.64x = 120,239,121,922.21
  5. Step 5: Solve for x
    x = 120,239,121,922.21/381,406.64
  6. Step 6: Final answer
    x = 315,251.78

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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.