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Finding the Fourth Proportional to 206,855.96, 285,473.39 and 155,778.57

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Solution

The fourth proportional to 206,855.96, 285,473.39 and 155,778.57 is: 214,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,855.96 : 285,473.39 = 155,778.57 : x
  2. Step 2: Convert to fraction form
    206,855.96/285,473.39 = 155,778.57/x
  3. Step 3: Cross multiply
    206,855.96x = 285,473.39 × 155,778.57
  4. Step 4: Simplify right side
    206,855.96x = 44,470,635,688.36
  5. Step 5: Solve for x
    x = 44,470,635,688.36/206,855.96
  6. Step 6: Final answer
    x = 214,983.59

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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.