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Finding the Fourth Proportional to 381,558.15, 526,523.90 and 211,778.91

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Solution

The fourth proportional to 381,558.15, 526,523.90 and 211,778.91 is: 292,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,558.15 : 526,523.90 = 211,778.91 : x
  2. Step 2: Convert to fraction form
    381,558.15/526,523.90 = 211,778.91/x
  3. Step 3: Cross multiply
    381,558.15x = 526,523.90 × 211,778.91
  4. Step 4: Simplify right side
    381,558.15x = 111,506,656,572.05
  5. Step 5: Solve for x
    x = 111,506,656,572.05/381,558.15
  6. Step 6: Final answer
    x = 292,240.27

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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.