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Finding the Fourth Proportional to 327,316.49, 490,954.34 and 156,659.41

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Solution

The fourth proportional to 327,316.49, 490,954.34 and 156,659.41 is: 234,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,316.49 : 490,954.34 = 156,659.41 : x
  2. Step 2: Convert to fraction form
    327,316.49/490,954.34 = 156,659.41/x
  3. Step 3: Cross multiply
    327,316.49x = 490,954.34 × 156,659.41
  4. Step 4: Simplify right side
    327,316.49x = 76,912,615,818.13
  5. Step 5: Solve for x
    x = 76,912,615,818.13/327,316.49
  6. Step 6: Final answer
    x = 234,979.35

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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.