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Finding the Fourth Proportional to 392,846.50, 589,269.80 and 140,116.78

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Solution

The fourth proportional to 392,846.50, 589,269.80 and 140,116.78 is: 210,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,846.50 : 589,269.80 = 140,116.78 : x
  2. Step 2: Convert to fraction form
    392,846.50/589,269.80 = 140,116.78/x
  3. Step 3: Cross multiply
    392,846.50x = 589,269.80 × 140,116.78
  4. Step 4: Simplify right side
    392,846.50x = 82,566,586,927.24
  5. Step 5: Solve for x
    x = 82,566,586,927.24/392,846.50
  6. Step 6: Final answer
    x = 210,175.19

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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.