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Finding the Fourth Proportional to 326,953.04, 490,164.86 and 102,197.75

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Solution

The fourth proportional to 326,953.04, 490,164.86 and 102,197.75 is: 153,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,953.04 : 490,164.86 = 102,197.75 : x
  2. Step 2: Convert to fraction form
    326,953.04/490,164.86 = 102,197.75/x
  3. Step 3: Cross multiply
    326,953.04x = 490,164.86 × 102,197.75
  4. Step 4: Simplify right side
    326,953.04x = 50,093,743,625.74
  5. Step 5: Solve for x
    x = 50,093,743,625.74/326,953.04
  6. Step 6: Final answer
    x = 153,213.88

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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.