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Finding the Fourth Proportional to 270,676.80, 406,015.20 and 194,569.20

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Solution

The fourth proportional to 270,676.80, 406,015.20 and 194,569.20 is: 291,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,676.80 : 406,015.20 = 194,569.20 : x
  2. Step 2: Convert to fraction form
    270,676.80/406,015.20 = 194,569.20/x
  3. Step 3: Cross multiply
    270,676.80x = 406,015.20 × 194,569.20
  4. Step 4: Simplify right side
    270,676.80x = 78,998,052,651.84
  5. Step 5: Solve for x
    x = 78,998,052,651.84/270,676.80
  6. Step 6: Final answer
    x = 291,853.80

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1.5x scale

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.