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Finding the Fourth Proportional to 420,916.78, 580,843.50 and 229,893.27

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Solution

The fourth proportional to 420,916.78, 580,843.50 and 229,893.27 is: 317,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,916.78 : 580,843.50 = 229,893.27 : x
  2. Step 2: Convert to fraction form
    420,916.78/580,843.50 = 229,893.27/x
  3. Step 3: Cross multiply
    420,916.78x = 580,843.50 × 229,893.27
  4. Step 4: Simplify right side
    420,916.78x = 133,532,011,573.25
  5. Step 5: Solve for x
    x = 133,532,011,573.25/420,916.78
  6. Step 6: Final answer
    x = 317,240.88

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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.