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Finding the Fourth Proportional to 306,609.80, 459,914.82 and 137,933.10

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Solution

The fourth proportional to 306,609.80, 459,914.82 and 137,933.10 is: 206,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,609.80 : 459,914.82 = 137,933.10 : x
  2. Step 2: Convert to fraction form
    306,609.80/459,914.82 = 137,933.10/x
  3. Step 3: Cross multiply
    306,609.80x = 459,914.82 × 137,933.10
  4. Step 4: Simplify right side
    306,609.80x = 63,437,476,858.54
  5. Step 5: Solve for x
    x = 63,437,476,858.54/306,609.80
  6. Step 6: Final answer
    x = 206,899.70

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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.