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Finding the Fourth Proportional to 381,265.83, 526,147.02 and 211,499.91

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Solution

The fourth proportional to 381,265.83, 526,147.02 and 211,499.91 is: 291,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,265.83 : 526,147.02 = 211,499.91 : x
  2. Step 2: Convert to fraction form
    381,265.83/526,147.02 = 211,499.91/x
  3. Step 3: Cross multiply
    381,265.83x = 526,147.02 × 211,499.91
  4. Step 4: Simplify right side
    381,265.83x = 111,280,047,376.77
  5. Step 5: Solve for x
    x = 111,280,047,376.77/381,265.83
  6. Step 6: Final answer
    x = 291,869.97

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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.