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Finding the Fourth Proportional to 392,959.80, 589,439.70 and 179,727.30

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Solution

The fourth proportional to 392,959.80, 589,439.70 and 179,727.30 is: 269,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,959.80 : 589,439.70 = 179,727.30 : x
  2. Step 2: Convert to fraction form
    392,959.80/589,439.70 = 179,727.30/x
  3. Step 3: Cross multiply
    392,959.80x = 589,439.70 × 179,727.30
  4. Step 4: Simplify right side
    392,959.80x = 105,938,405,793.81
  5. Step 5: Solve for x
    x = 105,938,405,793.81/392,959.80
  6. Step 6: Final answer
    x = 269,590.95

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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.