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Finding the Fourth Proportional to 270,016.20, 405,024.30 and 194,977.80

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Solution

The fourth proportional to 270,016.20, 405,024.30 and 194,977.80 is: 292,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,016.20 : 405,024.30 = 194,977.80 : x
  2. Step 2: Convert to fraction form
    270,016.20/405,024.30 = 194,977.80/x
  3. Step 3: Cross multiply
    270,016.20x = 405,024.30 × 194,977.80
  4. Step 4: Simplify right side
    270,016.20x = 78,970,746,960.54
  5. Step 5: Solve for x
    x = 78,970,746,960.54/270,016.20
  6. Step 6: Final answer
    x = 292,466.70

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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.