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Finding the Fourth Proportional to 381,218.96, 526,080.48 and 217,872.74

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Solution

The fourth proportional to 381,218.96, 526,080.48 and 217,872.74 is: 300,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,218.96 : 526,080.48 = 217,872.74 : x
  2. Step 2: Convert to fraction form
    381,218.96/526,080.48 = 217,872.74/x
  3. Step 3: Cross multiply
    381,218.96x = 526,080.48 × 217,872.74
  4. Step 4: Simplify right side
    381,218.96x = 114,618,595,638.12
  5. Step 5: Solve for x
    x = 114,618,595,638.12/381,218.96
  6. Step 6: Final answer
    x = 300,663.42

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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.