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Finding the Fourth Proportional to 270,498.80, 405,748.20 and 195,849.20

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Solution

The fourth proportional to 270,498.80, 405,748.20 and 195,849.20 is: 293,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,498.80 : 405,748.20 = 195,849.20 : x
  2. Step 2: Convert to fraction form
    270,498.80/405,748.20 = 195,849.20/x
  3. Step 3: Cross multiply
    270,498.80x = 405,748.20 × 195,849.20
  4. Step 4: Simplify right side
    270,498.80x = 79,465,460,371.44
  5. Step 5: Solve for x
    x = 79,465,460,371.44/270,498.80
  6. Step 6: Final answer
    x = 293,773.80

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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.