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Finding the Fourth Proportional to 217,608.67, 300,222.98 and 142,200.91

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Solution

The fourth proportional to 217,608.67, 300,222.98 and 142,200.91 is: 196,186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,608.67 : 300,222.98 = 142,200.91 : x
  2. Step 2: Convert to fraction form
    217,608.67/300,222.98 = 142,200.91/x
  3. Step 3: Cross multiply
    217,608.67x = 300,222.98 × 142,200.91
  4. Step 4: Simplify right side
    217,608.67x = 42,691,979,497.35
  5. Step 5: Solve for x
    x = 42,691,979,497.35/217,608.67
  6. Step 6: Final answer
    x = 196,186.94

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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.