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Finding the Fourth Proportional to 306,535.49, 459,797.86 and 137,936.48

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Solution

The fourth proportional to 306,535.49, 459,797.86 and 137,936.48 is: 206,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,535.49 : 459,797.86 = 137,936.48 : x
  2. Step 2: Convert to fraction form
    306,535.49/459,797.86 = 137,936.48/x
  3. Step 3: Cross multiply
    306,535.49x = 459,797.86 × 137,936.48
  4. Step 4: Simplify right side
    306,535.49x = 63,422,897,630.25
  5. Step 5: Solve for x
    x = 63,422,897,630.25/306,535.49
  6. Step 6: Final answer
    x = 206,902.30

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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.