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Finding the Fourth Proportional to 327,791.56, 452,246.64 and 198,781.72

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Solution

The fourth proportional to 327,791.56, 452,246.64 and 198,781.72 is: 274,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,791.56 : 452,246.64 = 198,781.72 : x
  2. Step 2: Convert to fraction form
    327,791.56/452,246.64 = 198,781.72/x
  3. Step 3: Cross multiply
    327,791.56x = 452,246.64 × 198,781.72
  4. Step 4: Simplify right side
    327,791.56x = 89,898,364,963.42
  5. Step 5: Solve for x
    x = 89,898,364,963.42/327,791.56
  6. Step 6: Final answer
    x = 274,254.67

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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.