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Finding the Fourth Proportional to 306,286.62, 459,714.24 and 156,633.86

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Solution

The fourth proportional to 306,286.62, 459,714.24 and 156,633.86 is: 235,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,286.62 : 459,714.24 = 156,633.86 : x
  2. Step 2: Convert to fraction form
    306,286.62/459,714.24 = 156,633.86/x
  3. Step 3: Cross multiply
    306,286.62x = 459,714.24 × 156,633.86
  4. Step 4: Simplify right side
    306,286.62x = 72,006,813,609.60
  5. Step 5: Solve for x
    x = 72,006,813,609.60/306,286.62
  6. Step 6: Final answer
    x = 235,096.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.