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Finding the Fourth Proportional to 421,912.17, 582,216.33 and 230,888.64

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Solution

The fourth proportional to 421,912.17, 582,216.33 and 230,888.64 is: 318,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,912.17 : 582,216.33 = 230,888.64 : x
  2. Step 2: Convert to fraction form
    421,912.17/582,216.33 = 230,888.64/x
  3. Step 3: Cross multiply
    421,912.17x = 582,216.33 × 230,888.64
  4. Step 4: Simplify right side
    421,912.17x = 134,427,136,619.49
  5. Step 5: Solve for x
    x = 134,427,136,619.49/421,912.17
  6. Step 6: Final answer
    x = 318,614.03

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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.