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Finding the Fourth Proportional to 420,592.36, 580,416.90 and 269,689

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Solution

The fourth proportional to 420,592.36, 580,416.90 and 269,689 is: 372,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,592.36 : 580,416.90 = 269,689 : x
  2. Step 2: Convert to fraction form
    420,592.36/580,416.90 = 269,689/x
  3. Step 3: Cross multiply
    420,592.36x = 580,416.90 × 269,689
  4. Step 4: Simplify right side
    420,592.36x = 156,532,053,344.10
  5. Step 5: Solve for x
    x = 156,532,053,344.10/420,592.36
  6. Step 6: Final answer
    x = 372,170.46

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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.