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Finding the Fourth Proportional to 420,596.36, 580,422.41 and 269,693

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Solution

The fourth proportional to 420,596.36, 580,422.41 and 269,693 is: 372,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,596.36 : 580,422.41 = 269,693 : x
  2. Step 2: Convert to fraction form
    420,596.36/580,422.41 = 269,693/x
  3. Step 3: Cross multiply
    420,596.36x = 580,422.41 × 269,693
  4. Step 4: Simplify right side
    420,596.36x = 156,535,861,020.13
  5. Step 5: Solve for x
    x = 156,535,861,020.13/420,596.36
  6. Step 6: Final answer
    x = 372,175.98

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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.