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Finding the Fourth Proportional to 392,872.88, 589,122.61 and 179,578.28

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Solution

The fourth proportional to 392,872.88, 589,122.61 and 179,578.28 is: 269,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,872.88 : 589,122.61 = 179,578.28 : x
  2. Step 2: Convert to fraction form
    392,872.88/589,122.61 = 179,578.28/x
  3. Step 3: Cross multiply
    392,872.88x = 589,122.61 × 179,578.28
  4. Step 4: Simplify right side
    392,872.88x = 105,793,625,012.91
  5. Step 5: Solve for x
    x = 105,793,625,012.91/392,872.88
  6. Step 6: Final answer
    x = 269,282.08

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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.