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Finding the Fourth Proportional to 481,912.81, 665,016.87 and 288,427.13

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Solution

The fourth proportional to 481,912.81, 665,016.87 and 288,427.13 is: 398,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,912.81 : 665,016.87 = 288,427.13 : x
  2. Step 2: Convert to fraction form
    481,912.81/665,016.87 = 288,427.13/x
  3. Step 3: Cross multiply
    481,912.81x = 665,016.87 × 288,427.13
  4. Step 4: Simplify right side
    481,912.81x = 191,808,905,773.55
  5. Step 5: Solve for x
    x = 191,808,905,773.55/481,912.81
  6. Step 6: Final answer
    x = 398,015.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.