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Finding the Fourth Proportional to 381,385.06, 526,311.39 and 211,646.50

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Solution

The fourth proportional to 381,385.06, 526,311.39 and 211,646.50 is: 292,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,385.06 : 526,311.39 = 211,646.50 : x
  2. Step 2: Convert to fraction form
    381,385.06/526,311.39 = 211,646.50/x
  3. Step 3: Cross multiply
    381,385.06x = 526,311.39 × 211,646.50
  4. Step 4: Simplify right side
    381,385.06x = 111,391,964,390.30
  5. Step 5: Solve for x
    x = 111,391,964,390.30/381,385.06
  6. Step 6: Final answer
    x = 292,072.17

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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.