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Finding the Fourth Proportional to 420,597.36, 580,423.79 and 269,694

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Solution

The fourth proportional to 420,597.36, 580,423.79 and 269,694 is: 372,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,597.36 : 580,423.79 = 269,694 : x
  2. Step 2: Convert to fraction form
    420,597.36/580,423.79 = 269,694/x
  3. Step 3: Cross multiply
    420,597.36x = 580,423.79 × 269,694
  4. Step 4: Simplify right side
    420,597.36x = 156,536,813,620.26
  5. Step 5: Solve for x
    x = 156,536,813,620.26/420,597.36
  6. Step 6: Final answer
    x = 372,177.36

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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.