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Finding the Fourth Proportional to 327,097.78, 490,646.70 and 102,460.12

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Solution

The fourth proportional to 327,097.78, 490,646.70 and 102,460.12 is: 153,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,097.78 : 490,646.70 = 102,460.12 : x
  2. Step 2: Convert to fraction form
    327,097.78/490,646.70 = 102,460.12/x
  3. Step 3: Cross multiply
    327,097.78x = 490,646.70 × 102,460.12
  4. Step 4: Simplify right side
    327,097.78x = 50,271,719,759.60
  5. Step 5: Solve for x
    x = 50,271,719,759.60/327,097.78
  6. Step 6: Final answer
    x = 153,690.19

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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.