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Finding the Fourth Proportional to 392,770.49, 589,414.08 and 215,402.06

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Solution

The fourth proportional to 392,770.49, 589,414.08 and 215,402.06 is: 323,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,770.49 : 589,414.08 = 215,402.06 : x
  2. Step 2: Convert to fraction form
    392,770.49/589,414.08 = 215,402.06/x
  3. Step 3: Cross multiply
    392,770.49x = 589,414.08 × 215,402.06
  4. Step 4: Simplify right side
    392,770.49x = 126,961,005,012.96
  5. Step 5: Solve for x
    x = 126,961,005,012.96/392,770.49
  6. Step 6: Final answer
    x = 323,244.76

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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.