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Finding the Fourth Proportional to 378,251.83, 521,819.17 and 217,068.31

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Solution

The fourth proportional to 378,251.83, 521,819.17 and 217,068.31 is: 299,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,251.83 : 521,819.17 = 217,068.31 : x
  2. Step 2: Convert to fraction form
    378,251.83/521,819.17 = 217,068.31/x
  3. Step 3: Cross multiply
    378,251.83x = 521,819.17 × 217,068.31
  4. Step 4: Simplify right side
    378,251.83x = 113,270,405,357.50
  5. Step 5: Solve for x
    x = 113,270,405,357.50/378,251.83
  6. Step 6: Final answer
    x = 299,457.65

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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.