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Finding the Fourth Proportional to 300,108.16, 414,253.56 and 172,834.48

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Solution

The fourth proportional to 300,108.16, 414,253.56 and 172,834.48 is: 238,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,108.16 : 414,253.56 = 172,834.48 : x
  2. Step 2: Convert to fraction form
    300,108.16/414,253.56 = 172,834.48/x
  3. Step 3: Cross multiply
    300,108.16x = 414,253.56 × 172,834.48
  4. Step 4: Simplify right side
    300,108.16x = 71,597,298,630.75
  5. Step 5: Solve for x
    x = 71,597,298,630.75/300,108.16
  6. Step 6: Final answer
    x = 238,571.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.