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Finding the Fourth Proportional to 392,679.18, 589,018.68 and 112,196.43

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Solution

The fourth proportional to 392,679.18, 589,018.68 and 112,196.43 is: 168,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,679.18 : 589,018.68 = 112,196.43 : x
  2. Step 2: Convert to fraction form
    392,679.18/589,018.68 = 112,196.43/x
  3. Step 3: Cross multiply
    392,679.18x = 589,018.68 × 112,196.43
  4. Step 4: Simplify right side
    392,679.18x = 66,085,793,099.31
  5. Step 5: Solve for x
    x = 66,085,793,099.31/392,679.18
  6. Step 6: Final answer
    x = 168,294.62

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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.