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Finding the Fourth Proportional to 327,097.60, 490,257.60 and 137,557.60

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Solution

The fourth proportional to 327,097.60, 490,257.60 and 137,557.60 is: 206,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,097.60 : 490,257.60 = 137,557.60 : x
  2. Step 2: Convert to fraction form
    327,097.60/490,257.60 = 137,557.60/x
  3. Step 3: Cross multiply
    327,097.60x = 490,257.60 × 137,557.60
  4. Step 4: Simplify right side
    327,097.60x = 67,438,658,837.76
  5. Step 5: Solve for x
    x = 67,438,658,837.76/327,097.60
  6. Step 6: Final answer
    x = 206,172.89

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1.5x scale

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.