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Finding the Fourth Proportional to 310,414.92, 428,527.60 and 203,148.80

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Solution

The fourth proportional to 310,414.92, 428,527.60 and 203,148.80 is: 280,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,414.92 : 428,527.60 = 203,148.80 : x
  2. Step 2: Convert to fraction form
    310,414.92/428,527.60 = 203,148.80/x
  3. Step 3: Cross multiply
    310,414.92x = 428,527.60 × 203,148.80
  4. Step 4: Simplify right side
    310,414.92x = 87,054,865,564.24
  5. Step 5: Solve for x
    x = 87,054,865,564.24/310,414.92
  6. Step 6: Final answer
    x = 280,446.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.