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Finding the Fourth Proportional to 358,714.50, 494,982.66 and 205,744.80

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Solution

The fourth proportional to 358,714.50, 494,982.66 and 205,744.80 is: 283,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,714.50 : 494,982.66 = 205,744.80 : x
  2. Step 2: Convert to fraction form
    358,714.50/494,982.66 = 205,744.80/x
  3. Step 3: Cross multiply
    358,714.50x = 494,982.66 × 205,744.80
  4. Step 4: Simplify right side
    358,714.50x = 101,840,108,385.17
  5. Step 5: Solve for x
    x = 101,840,108,385.17/358,714.50
  6. Step 6: Final answer
    x = 283,902.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.