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Finding the Fourth Proportional to 381,189.06, 526,103.91 and 211,477.86

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Solution

The fourth proportional to 381,189.06, 526,103.91 and 211,477.86 is: 291,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,189.06 : 526,103.91 = 211,477.86 : x
  2. Step 2: Convert to fraction form
    381,189.06/526,103.91 = 211,477.86/x
  3. Step 3: Cross multiply
    381,189.06x = 526,103.91 × 211,477.86
  4. Step 4: Simplify right side
    381,189.06x = 111,259,329,024.43
  5. Step 5: Solve for x
    x = 111,259,329,024.43/381,189.06
  6. Step 6: Final answer
    x = 291,874.40

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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.