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Finding the Fourth Proportional to 421,980.85, 582,335.14 and 231,012.01

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Solution

The fourth proportional to 421,980.85, 582,335.14 and 231,012.01 is: 318,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,980.85 : 582,335.14 = 231,012.01 : x
  2. Step 2: Convert to fraction form
    421,980.85/582,335.14 = 231,012.01/x
  3. Step 3: Cross multiply
    421,980.85x = 582,335.14 × 231,012.01
  4. Step 4: Simplify right side
    421,980.85x = 134,526,408,273.36
  5. Step 5: Solve for x
    x = 134,526,408,273.36/421,980.85
  6. Step 6: Final answer
    x = 318,797.43

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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.