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Finding the Fourth Proportional to 809,463.56, 1,212,866.16 and 276,693.80

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Solution

The fourth proportional to 809,463.56, 1,212,866.16 and 276,693.80 is: 414,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,463.56 : 1,212,866.16 = 276,693.80 : x
  2. Step 2: Convert to fraction form
    809,463.56/1,212,866.16 = 276,693.80/x
  3. Step 3: Cross multiply
    809,463.56x = 1,212,866.16 × 276,693.80
  4. Step 4: Simplify right side
    809,463.56x = 335,592,546,701.81
  5. Step 5: Solve for x
    x = 335,592,546,701.81/809,463.56
  6. Step 6: Final answer
    x = 414,586.35

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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.