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Finding the Fourth Proportional to 327,056.78, 490,585.18 and 102,434.80

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Solution

The fourth proportional to 327,056.78, 490,585.18 and 102,434.80 is: 153,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,056.78 : 490,585.18 = 102,434.80 : x
  2. Step 2: Convert to fraction form
    327,056.78/490,585.18 = 102,434.80/x
  3. Step 3: Cross multiply
    327,056.78x = 490,585.18 × 102,434.80
  4. Step 4: Simplify right side
    327,056.78x = 50,252,994,796.26
  5. Step 5: Solve for x
    x = 50,252,994,796.26/327,056.78
  6. Step 6: Final answer
    x = 153,652.20

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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.