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Finding the Fourth Proportional to 381,503.56, 526,499.52 and 211,737.68

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Solution

The fourth proportional to 381,503.56, 526,499.52 and 211,737.68 is: 292,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,503.56 : 526,499.52 = 211,737.68 : x
  2. Step 2: Convert to fraction form
    381,503.56/526,499.52 = 211,737.68/x
  3. Step 3: Cross multiply
    381,503.56x = 526,499.52 × 211,737.68
  4. Step 4: Simplify right side
    381,503.56x = 111,479,786,885.91
  5. Step 5: Solve for x
    x = 111,479,786,885.91/381,503.56
  6. Step 6: Final answer
    x = 292,211.66

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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.