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Finding the Fourth Proportional to 420,294.82, 629,916.84 and 270,135.46

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Solution

The fourth proportional to 420,294.82, 629,916.84 and 270,135.46 is: 404,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,294.82 : 629,916.84 = 270,135.46 : x
  2. Step 2: Convert to fraction form
    420,294.82/629,916.84 = 270,135.46/x
  3. Step 3: Cross multiply
    420,294.82x = 629,916.84 × 270,135.46
  4. Step 4: Simplify right side
    420,294.82x = 170,162,875,335.15
  5. Step 5: Solve for x
    x = 170,162,875,335.15/420,294.82
  6. Step 6: Final answer
    x = 404,865.51

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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.