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Finding the Fourth Proportional to 270,495.80, 405,743.70 and 195,846.20

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Solution

The fourth proportional to 270,495.80, 405,743.70 and 195,846.20 is: 293,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,495.80 : 405,743.70 = 195,846.20 : x
  2. Step 2: Convert to fraction form
    270,495.80/405,743.70 = 195,846.20/x
  3. Step 3: Cross multiply
    270,495.80x = 405,743.70 × 195,846.20
  4. Step 4: Simplify right side
    270,495.80x = 79,463,361,818.94
  5. Step 5: Solve for x
    x = 79,463,361,818.94/270,495.80
  6. Step 6: Final answer
    x = 293,769.30

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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.