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Finding the Fourth Proportional to 327,934.78, 491,476.11 and 147,887.98

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Solution

The fourth proportional to 327,934.78, 491,476.11 and 147,887.98 is: 221,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,934.78 : 491,476.11 = 147,887.98 : x
  2. Step 2: Convert to fraction form
    327,934.78/491,476.11 = 147,887.98/x
  3. Step 3: Cross multiply
    327,934.78x = 491,476.11 × 147,887.98
  4. Step 4: Simplify right side
    327,934.78x = 72,683,409,126.16
  5. Step 5: Solve for x
    x = 72,683,409,126.16/327,934.78
  6. Step 6: Final answer
    x = 221,639.83

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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.