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Finding the Fourth Proportional to 218,234.58, 300,992.82 and 141,778.14

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Solution

The fourth proportional to 218,234.58, 300,992.82 and 141,778.14 is: 195,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,234.58 : 300,992.82 = 141,778.14 : x
  2. Step 2: Convert to fraction form
    218,234.58/300,992.82 = 141,778.14/x
  3. Step 3: Cross multiply
    218,234.58x = 300,992.82 × 141,778.14
  4. Step 4: Simplify right side
    218,234.58x = 42,674,202,990.89
  5. Step 5: Solve for x
    x = 42,674,202,990.89/218,234.58
  6. Step 6: Final answer
    x = 195,542.81

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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.