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Finding the Fourth Proportional to 327,159.83, 490,739.81 and 102,520.22

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Solution

The fourth proportional to 327,159.83, 490,739.81 and 102,520.22 is: 153,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,159.83 : 490,739.81 = 102,520.22 : x
  2. Step 2: Convert to fraction form
    327,159.83/490,739.81 = 102,520.22/x
  3. Step 3: Cross multiply
    327,159.83x = 490,739.81 × 102,520.22
  4. Step 4: Simplify right side
    327,159.83x = 50,310,750,317.66
  5. Step 5: Solve for x
    x = 50,310,750,317.66/327,159.83
  6. Step 6: Final answer
    x = 153,780.34

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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.