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Finding the Fourth Proportional to 514,491.31, 771,736.97 and 214,808.73

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Solution

The fourth proportional to 514,491.31, 771,736.97 and 214,808.73 is: 322,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,491.31 : 771,736.97 = 214,808.73 : x
  2. Step 2: Convert to fraction form
    514,491.31/771,736.97 = 214,808.73/x
  3. Step 3: Cross multiply
    514,491.31x = 771,736.97 × 214,808.73
  4. Step 4: Simplify right side
    514,491.31x = 165,775,838,419.75
  5. Step 5: Solve for x
    x = 165,775,838,419.75/514,491.31
  6. Step 6: Final answer
    x = 322,213.10

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.