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Finding the Fourth Proportional to 327,712.70, 491,482.65 and 103,072.70

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Solution

The fourth proportional to 327,712.70, 491,482.65 and 103,072.70 is: 154,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,712.70 : 491,482.65 = 103,072.70 : x
  2. Step 2: Convert to fraction form
    327,712.70/491,482.65 = 103,072.70/x
  3. Step 3: Cross multiply
    327,712.70x = 491,482.65 × 103,072.70
  4. Step 4: Simplify right side
    327,712.70x = 50,658,443,738.66
  5. Step 5: Solve for x
    x = 50,658,443,738.66/327,712.70
  6. Step 6: Final answer
    x = 154,581.88

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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.