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Finding the Fourth Proportional to 304,080.86, 419,619.20 and 168,106.16

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Solution

The fourth proportional to 304,080.86, 419,619.20 and 168,106.16 is: 231,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,080.86 : 419,619.20 = 168,106.16 : x
  2. Step 2: Convert to fraction form
    304,080.86/419,619.20 = 168,106.16/x
  3. Step 3: Cross multiply
    304,080.86x = 419,619.20 × 168,106.16
  4. Step 4: Simplify right side
    304,080.86x = 70,540,572,374.27
  5. Step 5: Solve for x
    x = 70,540,572,374.27/304,080.86
  6. Step 6: Final answer
    x = 231,979.65

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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.