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Finding the Fourth Proportional to 304,213.28, 419,815.20 and 170,077.28

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Solution

The fourth proportional to 304,213.28, 419,815.20 and 170,077.28 is: 234,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,213.28 : 419,815.20 = 170,077.28 : x
  2. Step 2: Convert to fraction form
    304,213.28/419,815.20 = 170,077.28/x
  3. Step 3: Cross multiply
    304,213.28x = 419,815.20 × 170,077.28
  4. Step 4: Simplify right side
    304,213.28x = 71,401,027,318.66
  5. Step 5: Solve for x
    x = 71,401,027,318.66/304,213.28
  6. Step 6: Final answer
    x = 234,707.13

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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.