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Finding the Fourth Proportional to 300,380, 450,220.08 and 167,196.56

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Solution

The fourth proportional to 300,380, 450,220.08 and 167,196.56 is: 250,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,380 : 450,220.08 = 167,196.56 : x
  2. Step 2: Convert to fraction form
    300,380/450,220.08 = 167,196.56/x
  3. Step 3: Cross multiply
    300,380x = 450,220.08 × 167,196.56
  4. Step 4: Simplify right side
    300,380x = 75,275,248,618.92
  5. Step 5: Solve for x
    x = 75,275,248,618.92/300,380
  6. Step 6: Final answer
    x = 250,600.07

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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.