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Finding the Fourth Proportional to 270,236.28, 405,412.40 and 80,711.60

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Solution

The fourth proportional to 270,236.28, 405,412.40 and 80,711.60 is: 121,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,236.28 : 405,412.40 = 80,711.60 : x
  2. Step 2: Convert to fraction form
    270,236.28/405,412.40 = 80,711.60/x
  3. Step 3: Cross multiply
    270,236.28x = 405,412.40 × 80,711.60
  4. Step 4: Simplify right side
    270,236.28x = 32,721,483,463.84
  5. Step 5: Solve for x
    x = 32,721,483,463.84/270,236.28
  6. Step 6: Final answer
    x = 121,084.72

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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.