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Finding the Fourth Proportional to 270,416.74, 405,514.39 and 120,554.53

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Solution

The fourth proportional to 270,416.74, 405,514.39 and 120,554.53 is: 180,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,416.74 : 405,514.39 = 120,554.53 : x
  2. Step 2: Convert to fraction form
    270,416.74/405,514.39 = 120,554.53/x
  3. Step 3: Cross multiply
    270,416.74x = 405,514.39 × 120,554.53
  4. Step 4: Simplify right side
    270,416.74x = 48,886,597,481.98
  5. Step 5: Solve for x
    x = 48,886,597,481.98/270,416.74
  6. Step 6: Final answer
    x = 180,782.44

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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.