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Finding the Fourth Proportional to 421,825.56, 582,119.28 and 230,838.96

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Solution

The fourth proportional to 421,825.56, 582,119.28 and 230,838.96 is: 318,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,825.56 : 582,119.28 = 230,838.96 : x
  2. Step 2: Convert to fraction form
    421,825.56/582,119.28 = 230,838.96/x
  3. Step 3: Cross multiply
    421,825.56x = 582,119.28 × 230,838.96
  4. Step 4: Simplify right side
    421,825.56x = 134,375,809,191.15
  5. Step 5: Solve for x
    x = 134,375,809,191.15/421,825.56
  6. Step 6: Final answer
    x = 318,557.77

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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.