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Finding the Fourth Proportional to 327,854.94, 491,918.56 and 156,990.70

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Solution

The fourth proportional to 327,854.94, 491,918.56 and 156,990.70 is: 235,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,854.94 : 491,918.56 = 156,990.70 : x
  2. Step 2: Convert to fraction form
    327,854.94/491,918.56 = 156,990.70/x
  3. Step 3: Cross multiply
    327,854.94x = 491,918.56 × 156,990.70
  4. Step 4: Simplify right side
    327,854.94x = 77,226,639,077.39
  5. Step 5: Solve for x
    x = 77,226,639,077.39/327,854.94
  6. Step 6: Final answer
    x = 235,551.25

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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.