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Finding the Fourth Proportional to 327,308.48, 490,963.32 and 102,686.64

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Solution

The fourth proportional to 327,308.48, 490,963.32 and 102,686.64 is: 154,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,308.48 : 490,963.32 = 102,686.64 : x
  2. Step 2: Convert to fraction form
    327,308.48/490,963.32 = 102,686.64/x
  3. Step 3: Cross multiply
    327,308.48x = 490,963.32 × 102,686.64
  4. Step 4: Simplify right side
    327,308.48x = 50,415,373,694.04
  5. Step 5: Solve for x
    x = 50,415,373,694.04/327,308.48
  6. Step 6: Final answer
    x = 154,030.15

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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.