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Finding the Fourth Proportional to 306,532.58, 459,793.55 and 137,933.61

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Solution

The fourth proportional to 306,532.58, 459,793.55 and 137,933.61 is: 206,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,532.58 : 459,793.55 = 137,933.61 : x
  2. Step 2: Convert to fraction form
    306,532.58/459,793.55 = 137,933.61/x
  3. Step 3: Cross multiply
    306,532.58x = 459,793.55 × 137,933.61
  4. Step 4: Simplify right side
    306,532.58x = 63,420,981,217.58
  5. Step 5: Solve for x
    x = 63,420,981,217.58/306,532.58
  6. Step 6: Final answer
    x = 206,898.01

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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.