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Finding the Fourth Proportional to 306,489.42, 459,729.52 and 137,890.70

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Solution

The fourth proportional to 306,489.42, 459,729.52 and 137,890.70 is: 206,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,489.42 : 459,729.52 = 137,890.70 : x
  2. Step 2: Convert to fraction form
    306,489.42/459,729.52 = 137,890.70/x
  3. Step 3: Cross multiply
    306,489.42x = 459,729.52 × 137,890.70
  4. Step 4: Simplify right side
    306,489.42x = 63,392,424,634.01
  5. Step 5: Solve for x
    x = 63,392,424,634.01/306,489.42
  6. Step 6: Final answer
    x = 206,833.98

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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.