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Finding the Fourth Proportional to 420,299.82, 580,013.75 and 269,396.82

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Solution

The fourth proportional to 420,299.82, 580,013.75 and 269,396.82 is: 371,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,299.82 : 580,013.75 = 269,396.82 : x
  2. Step 2: Convert to fraction form
    420,299.82/580,013.75 = 269,396.82/x
  3. Step 3: Cross multiply
    420,299.82x = 580,013.75 × 269,396.82
  4. Step 4: Simplify right side
    420,299.82x = 156,253,858,459.29
  5. Step 5: Solve for x
    x = 156,253,858,459.29/420,299.82
  6. Step 6: Final answer
    x = 371,767.61

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1.5x scale

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.