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Finding the Fourth Proportional to 279,532.91, 419,511.78 and 204,848.07

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Solution

The fourth proportional to 279,532.91, 419,511.78 and 204,848.07 is: 307,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,532.91 : 419,511.78 = 204,848.07 : x
  2. Step 2: Convert to fraction form
    279,532.91/419,511.78 = 204,848.07/x
  3. Step 3: Cross multiply
    279,532.91x = 419,511.78 × 204,848.07
  4. Step 4: Simplify right side
    279,532.91x = 85,936,178,475.26
  5. Step 5: Solve for x
    x = 85,936,178,475.26/279,532.91
  6. Step 6: Final answer
    x = 307,427.77

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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.