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Finding the Fourth Proportional to 310,611.48, 465,939.50 and 82,905.90

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Solution

The fourth proportional to 310,611.48, 465,939.50 and 82,905.90 is: 124,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,611.48 : 465,939.50 = 82,905.90 : x
  2. Step 2: Convert to fraction form
    310,611.48/465,939.50 = 82,905.90/x
  3. Step 3: Cross multiply
    310,611.48x = 465,939.50 × 82,905.90
  4. Step 4: Simplify right side
    310,611.48x = 38,629,133,593.05
  5. Step 5: Solve for x
    x = 38,629,133,593.05/310,611.48
  6. Step 6: Final answer
    x = 124,364.80

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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.