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Finding the Fourth Proportional to 329,994.61, 494,991.91 and 172,186.16

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Solution

The fourth proportional to 329,994.61, 494,991.91 and 172,186.16 is: 258,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,994.61 : 494,991.91 = 172,186.16 : x
  2. Step 2: Convert to fraction form
    329,994.61/494,991.91 = 172,186.16/x
  3. Step 3: Cross multiply
    329,994.61x = 494,991.91 × 172,186.16
  4. Step 4: Simplify right side
    329,994.61x = 85,230,753,954.24
  5. Step 5: Solve for x
    x = 85,230,753,954.24/329,994.61
  6. Step 6: Final answer
    x = 258,279.23

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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.