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Finding the Fourth Proportional to 327,143.34, 490,714.38 and 102,520.98

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Solution

The fourth proportional to 327,143.34, 490,714.38 and 102,520.98 is: 153,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,143.34 : 490,714.38 = 102,520.98 : x
  2. Step 2: Convert to fraction form
    327,143.34/490,714.38 = 102,520.98/x
  3. Step 3: Cross multiply
    327,143.34x = 490,714.38 × 102,520.98
  4. Step 4: Simplify right side
    327,143.34x = 50,308,519,137.69
  5. Step 5: Solve for x
    x = 50,308,519,137.69/327,143.34
  6. Step 6: Final answer
    x = 153,781.27

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1.5x scale

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.