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Finding the Fourth Proportional to 216,280.66, 298,467.93 and 120,790.96

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Solution

The fourth proportional to 216,280.66, 298,467.93 and 120,790.96 is: 166,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,280.66 : 298,467.93 = 120,790.96 : x
  2. Step 2: Convert to fraction form
    216,280.66/298,467.93 = 120,790.96/x
  3. Step 3: Cross multiply
    216,280.66x = 298,467.93 × 120,790.96
  4. Step 4: Simplify right side
    216,280.66x = 36,052,227,793.91
  5. Step 5: Solve for x
    x = 36,052,227,793.91/216,280.66
  6. Step 6: Final answer
    x = 166,691.87

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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.