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Finding the Fourth Proportional to 327,342.60, 491,013.90 and 169,619.40

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Solution

The fourth proportional to 327,342.60, 491,013.90 and 169,619.40 is: 254,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,342.60 : 491,013.90 = 169,619.40 : x
  2. Step 2: Convert to fraction form
    327,342.60/491,013.90 = 169,619.40/x
  3. Step 3: Cross multiply
    327,342.60x = 491,013.90 × 169,619.40
  4. Step 4: Simplify right side
    327,342.60x = 83,285,483,109.66
  5. Step 5: Solve for x
    x = 83,285,483,109.66/327,342.60
  6. Step 6: Final answer
    x = 254,429.10

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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.