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Finding the Fourth Proportional to 304,080.10, 419,612.45 and 168,105.90

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Solution

The fourth proportional to 304,080.10, 419,612.45 and 168,105.90 is: 231,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,080.10 : 419,612.45 = 168,105.90 : x
  2. Step 2: Convert to fraction form
    304,080.10/419,612.45 = 168,105.90/x
  3. Step 3: Cross multiply
    304,080.10x = 419,612.45 × 168,105.90
  4. Step 4: Simplify right side
    304,080.10x = 70,539,328,558.46
  5. Step 5: Solve for x
    x = 70,539,328,558.46/304,080.10
  6. Step 6: Final answer
    x = 231,976.15

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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.