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Finding the Fourth Proportional to 419,842.40, 629,326.20 and 230,010.80

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Solution

The fourth proportional to 419,842.40, 629,326.20 and 230,010.80 is: 344,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,842.40 : 629,326.20 = 230,010.80 : x
  2. Step 2: Convert to fraction form
    419,842.40/629,326.20 = 230,010.80/x
  3. Step 3: Cross multiply
    419,842.40x = 629,326.20 × 230,010.80
  4. Step 4: Simplify right side
    419,842.40x = 144,751,822,722.96
  5. Step 5: Solve for x
    x = 144,751,822,722.96/419,842.40
  6. Step 6: Final answer
    x = 344,776.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.