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Finding the Fourth Proportional to 329,127.42, 493,691.13 and 79,809.42

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Solution

The fourth proportional to 329,127.42, 493,691.13 and 79,809.42 is: 119,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,127.42 : 493,691.13 = 79,809.42 : x
  2. Step 2: Convert to fraction form
    329,127.42/493,691.13 = 79,809.42/x
  3. Step 3: Cross multiply
    329,127.42x = 493,691.13 × 79,809.42
  4. Step 4: Simplify right side
    329,127.42x = 39,401,202,744.44
  5. Step 5: Solve for x
    x = 39,401,202,744.44/329,127.42
  6. Step 6: Final answer
    x = 119,714.13

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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.