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Finding the Fourth Proportional to 304,446.78, 420,343.29 and 189,771.30

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Solution

The fourth proportional to 304,446.78, 420,343.29 and 189,771.30 is: 262,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,446.78 : 420,343.29 = 189,771.30 : x
  2. Step 2: Convert to fraction form
    304,446.78/420,343.29 = 189,771.30/x
  3. Step 3: Cross multiply
    304,446.78x = 420,343.29 × 189,771.30
  4. Step 4: Simplify right side
    304,446.78x = 79,769,092,589.58
  5. Step 5: Solve for x
    x = 79,769,092,589.58/304,446.78
  6. Step 6: Final answer
    x = 262,013.26

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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.