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Finding the Fourth Proportional to 392,682.45, 588,478.67 and 178,927.98

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Solution

The fourth proportional to 392,682.45, 588,478.67 and 178,927.98 is: 268,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,682.45 : 588,478.67 = 178,927.98 : x
  2. Step 2: Convert to fraction form
    392,682.45/588,478.67 = 178,927.98/x
  3. Step 3: Cross multiply
    392,682.45x = 588,478.67 × 178,927.98
  4. Step 4: Simplify right side
    392,682.45x = 105,295,299,696.19
  5. Step 5: Solve for x
    x = 105,295,299,696.19/392,682.45
  6. Step 6: Final answer
    x = 268,143.64

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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.