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Finding the Fourth Proportional to 381,354.82, 526,269.72 and 211,588.54

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Solution

The fourth proportional to 381,354.82, 526,269.72 and 211,588.54 is: 291,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,354.82 : 526,269.72 = 211,588.54 : x
  2. Step 2: Convert to fraction form
    381,354.82/526,269.72 = 211,588.54/x
  3. Step 3: Cross multiply
    381,354.82x = 526,269.72 × 211,588.54
  4. Step 4: Simplify right side
    381,354.82x = 111,352,641,701.01
  5. Step 5: Solve for x
    x = 111,352,641,701.01/381,354.82
  6. Step 6: Final answer
    x = 291,992.22

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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.